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Topological Quantum Field Theories and Geometry of Loop Spaces

Penned By L. Fehér
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Topological Quantum Field Theories and Geometry of Loop Spaces

Penned By L. Fehér
4.85 99,542 Ratings
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Editor's Note:
These lectures introduce some very popular fields in topology. The topics discussed are interrelated with modern physics and include works of four leading researchers: M Atiyah, R Bott, J Jones and G Segal. The original lectures presented at the conference at Budapest are enlarged with appendices to make these notes self-contained.Contents: A New Knot Invariant I "(M F Atiyah)"A New Knot Invariant II: Topological Quantum Field Theories and the Jones Polynomial "(M F Atiyah)"Representations of Loop Groups I: Factorization Theorems "(G Segal)"Representations of Loop Groups II: The Determinant Bundle "(G Segal)"Topological Quantum Field Theories with Finite Groups "(G Segal)"The Index Theorem and Differential Forms on Loop Spaces "(J D S Jones)"Topological Aspects of Loop Groups "(R Bott)""Appendices: "Spin Structures and Dirac OperatorsThe Wiener Integral and the Feynman-Kac FormulaTopological Quantum Field TheoriesBorel-Weil TheoryReadership: Mathematicians and mathematical physicists.

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Length 124 Pages
Imprint World Scientific Publishing Company
Released January 1, 1992
Identifier (ISBN) 23234366
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L. Fehér
The Mind Behind the Work
L. Fehér

L. Fehér writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. L. Fehér lives with their spouse and a very vocal rescue cat.

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Linda Ramirez
Linda Ramirez August 30, 2025
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author."
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"Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall."
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Kevin White
Kevin White August 18, 2025
"Not entirely to my refined tastes. The prose was competent, yet the characters lacked the depth I usually seek. Suitable if your reading queue is empty."
Brian Roberts
Brian Roberts June 09, 2024
"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre."
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Nancy Gonzalez January 01, 2024
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"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
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Emily Robinson July 17, 2024
"I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
Cynthia Perez
Cynthia Perez December 13, 2025
"Not entirely to my refined tastes. Certain acts were fascinating, while others felt like a slight endeavor to complete. Perhaps more aligned with a different audience's tastes."
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Betty Smith October 11, 2024
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James Nelson February 03, 2025
"Not entirely to my refined tastes. The prose was competent, yet the characters lacked the depth I usually seek. Unlikely to reread, but a reasonable expenditure of time."
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Jennifer Campbell July 11, 2024
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James Smith December 21, 2025
"A decent, if standard, experience. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. Suitable if your reading queue is empty."
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Jennifer Wright August 10, 2025
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"Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend."
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"Took a moment to build, but the payoff was spectacular. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend."
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"Not entirely to my refined tastes. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. A fair 3 stars."
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James Smith September 18, 2024
"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
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"Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
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"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
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"Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
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"Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
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"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
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Melissa Gomez May 07, 2024
"It was adequate. Certain acts were fascinating, while others felt like a slight endeavor to complete. Perhaps more aligned with a different audience's tastes."
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"A very strong entry. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers."
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"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
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Thomas Walker March 27, 2025
"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
Brian Roberts
Brian Roberts November 15, 2025
"Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
Rebecca Young
Rebecca Young November 18, 2024
"Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A solid 4 stars from me."
Michael Campbell
Michael Campbell April 18, 2024
"Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
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Richard Lee June 30, 2025
"Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers."
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"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel."
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"A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading."
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"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
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"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
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James Smith January 09, 2025
"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
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"Took a moment to build, but the payoff was spectacular. The middle had a deliberate pace, but the climax was phenomenal. I would highly recommend this to discerning readers."
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Kevin Phillips
Kevin Phillips February 16, 2025
"I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A solid 4 stars from me."
Steven Smith
Steven Smith June 04, 2024
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
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"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Mark Walker
Mark Walker May 02, 2025
"A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall."
Emily Robinson
Emily Robinson July 11, 2025
"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
Mark Reyes
Mark Reyes November 05, 2025
"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre."
Cynthia Wright
Cynthia Wright November 02, 2025
"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Patricia Baker
Patricia Baker December 25, 2024
"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Margaret Cruz
Margaret Cruz October 03, 2024
"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
Daniel Lopez
Daniel Lopez November 27, 2025
"Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
Dorothy Collins
Dorothy Collins May 03, 2025
"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Carol Wright
Carol Wright May 24, 2025
"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
Michelle Lewis
Michelle Lewis December 08, 2024
"I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Sarah  Parker
Sarah Parker June 15, 2024
"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Dorothy Hall
Dorothy Hall March 06, 2024
"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
Patricia Hall
Patricia Hall July 29, 2025
"Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre."
Cynthia Wilson
Cynthia Wilson November 14, 2025
"Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
Dorothy Collins
Dorothy Collins April 18, 2025
"Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
Michael Campbell
Michael Campbell September 17, 2025
"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading."
Lisa Ramirez
Lisa Ramirez June 19, 2025
"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
Lisa Ramirez
Lisa Ramirez July 09, 2024
"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
Kevin Jackson
Kevin Jackson February 08, 2025
"Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author."
William Clark
William Clark October 25, 2024
"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading."
Nancy King
Nancy King September 15, 2024
"A very strong entry. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
Andrew Sanchez
Andrew Sanchez June 07, 2024
"A very strong entry. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend."
Michelle Reyes
Michelle Reyes February 04, 2025
"Honestly one of the most premium reading experiences lately. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
Deborah Scott
Deborah Scott July 23, 2024
"I find myself somewhat conflicted. The prose was competent, yet the characters lacked the depth I usually seek. Suitable if your reading queue is empty."
Daniel Williams
Daniel Williams November 09, 2025
"Such a rich narrative. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
Kimberly Nguyen
Kimberly Nguyen July 11, 2025
"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
Jacob Jones
Jacob Jones May 29, 2024
"Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre."
Sandra Gomez
Sandra Gomez May 28, 2024
"A very strong entry. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
Robert Martinez
Robert Martinez June 13, 2024
"I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend."
Jennifer Wright
Jennifer Wright May 16, 2025
"An acceptable diversion. It verged on repetitive in the second act. A more concise edit would have served it well. Suitable if your reading queue is empty."
Jacob Roberts
Jacob Roberts October 21, 2025
"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Mark Scott
Mark Scott June 03, 2024
"I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
Carol Perez
Carol Perez September 09, 2024
"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
Deborah Young
Deborah Young May 17, 2024
"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Kimberly Scott
Kimberly Scott April 16, 2024
"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
Lisa Lopez
Lisa Lopez July 24, 2024
"Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
Kenneth Hill
Kenneth Hill October 17, 2024
"Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
Nancy Gomez
Nancy Gomez June 03, 2025
"Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Mary Gomez
Mary Gomez March 29, 2025
"A highly sophisticated read. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A solid 4 stars from me."
Michelle Miller
Michelle Miller January 19, 2024
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre."
Susan Clark
Susan Clark February 25, 2024
"Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers."
Deborah Young
Deborah Young March 10, 2025
"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
Dorothy Collins
Dorothy Collins January 22, 2024
"A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Kimberly Scott
Kimberly Scott November 02, 2025
"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
Amanda Torres
Amanda Torres September 15, 2025
"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
William Martinez
William Martinez December 28, 2024
"I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A solid 4 stars from me."
Thomas Sanchez
Thomas Sanchez May 29, 2024
"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Richard Baker
Richard Baker April 28, 2025
"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author."
Gary Taylor
Gary Taylor March 26, 2024
"Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Charles Perez
Charles Perez August 06, 2025
"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
Michael Gomez
Michael Gomez April 23, 2024
"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall."
John Lopez
John Lopez November 24, 2024
"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
Eric Sanchez
Eric Sanchez October 19, 2025
"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
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