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Differential Geometry and Topology: Three-Manifold Invariants Using Symplectic Geometry of Representation Varieties

Differential Geometry and Topology: Three-Manifold Invariants Using Symplectic Geometry of Representation Varieties

by S. Cappell g
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4.81
66,110 ratings · 9,466 reviews
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OFFICIAL VERIFIED

Differential Geometry and Topology: Three-Manifold Invariants Using Symplectic Geometry of Representation Varieties

Differential Geometry and Topology: Three-Manifold Invariants Using Symplectic Geometry of Representation Varieties

by S. Cappell g
4.81 66,110 ratings · 9,466 reviews
Discover Differential Geometry and Topology: Three-Manifold Invariants Using Symplectic Geometry of Representation Varieties by S. Cappell. Start reading today and explore ideas, insights, and experiences that stay with you.

Overview: Many phenomena of three-manifolds are related to the representations of their fundamental groups. The authors of this book, using an investigation of the intersections of Lagrangian subvarieties in singular symplectic varieties, develop invariants associated with the more general Lie group, including SU(n). From a combinatorial approach related to Vassiliev's perspective on knot theory, a number of researchers have obtained a theory of "finite-type invariants" of three-manifolds. The authors show that their general representation-theoretic invariants are of the finite type. As a result, their invariants have surgery formulae and are intimately related to issues in mapping class groups, knot theory and quantum physics. On the other hand, some combinatorial invariants are given new geometrical meaning through these relations with the fundamental group.

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Details & Genres

Fiction Literature Bestseller Recommended
Length 200 pages
Published October 1, 1999
ISBN-13 2498534

More Books By: S. Cappell


S. Cappell
About the Author S. Cappell
17,775 followers

S. Cappell is the author of several novels. Originally from the East Coast, they now live in the Midwest with family. In addition to writing, S. Cappell enjoys gardening, cooking, and reading way past bedtime. Their work often explores the complexities of everyday life and human relationships.

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Brian Johnson
Brian Johnson February 19, 2024
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Worth the time and money.
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Elizabeth Clark January 23, 2025
Took me a few chapters to get into it, but it was worth it. It held my attention, even if a few things were a little predictable. A solid 4 stars from me.
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Sandra Phillips
Sandra Phillips September 19, 2024
Such a great read. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
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Andrew Miller
Andrew Miller August 06, 2024
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Glad someone recommended this to me. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
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Kimberly Young November 15, 2024
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Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
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Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
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Kenneth Roberts
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A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
James  Davis
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I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
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Honestly one of the better books I've read lately. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Sharon Carter
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Donald Garcia
Donald Garcia May 26, 2024
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Karen Wright
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A very satisfying read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
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A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
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Laura Smith October 27, 2024
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Deborah Miller June 21, 2025
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Kimberly Jackson
Kimberly Jackson August 10, 2024
Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. Worth the time and money.
Daniel Martin
Daniel Martin February 15, 2025
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Laura Cruz
Laura Cruz November 09, 2025
Took me a few chapters to get into it, but it was worth it. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
Dorothy Robinson
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Mary Moore
Mary Moore December 24, 2024
A very satisfying read. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Joseph Turner
Joseph Turner August 13, 2024
Really enjoyed this one. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
Patricia Clark
Patricia Clark April 27, 2025
Finished it in a couple of days. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Will be looking for more from this author.
Lisa Harris
Lisa Harris February 02, 2024
Good, but not quite perfect. The middle dragged a tiny bit, but the ending totally made up for it. Not bad at all.
Jessica Wright
Jessica Wright October 30, 2025
A very satisfying read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Jacob Smith
Jacob Smith March 08, 2024
Honestly one of the better books I've read lately. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Kevin Jones
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Really enjoyed this one. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
Thomas Perez
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I have mixed feelings about this one. It felt a bit repetitive in the middle. Could have been shorter. Probably won't read it again, but it was an okay way to pass the time.
Gary Lee
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A very satisfying read. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Robert Flores
Robert Flores August 31, 2025
I was pleasantly surprised. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Kenneth Brown
Kenneth Brown May 26, 2025
A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Ryan Walker
Ryan Walker January 15, 2024
Glad someone recommended this to me. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Definitely recommend it if you like this genre.
Donald Baker
Donald Baker January 01, 2024
Finished it in a couple of days. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
Laura Harris
Laura Harris February 25, 2024
Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Andrew Mitchell
Andrew Mitchell August 12, 2025
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
William Phillips
William Phillips February 03, 2025
Glad someone recommended this to me. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Donald Perez
Donald Perez December 20, 2025
A very satisfying read. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Sharon Carter
Sharon Carter September 03, 2024
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
George Mitchell
George Mitchell February 13, 2025
Good, but not quite perfect. Interesting premise and executed fairly well. Just a few slow chapters here and there. Not bad at all.
Thomas Ramirez
Thomas Ramirez May 11, 2025
A very satisfying read. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Rebecca Green
Rebecca Green August 28, 2024
Not bad, but not my favorite. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. Probably won't read it again, but it was an okay way to pass the time.
Dorothy Williams
Dorothy Williams January 13, 2025
A solid read. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
David White
David White June 14, 2024
I was pleasantly surprised. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Stephanie Mitchell
Stephanie Mitchell November 06, 2025
A solid read. It held my attention, even if a few things were a little predictable. Not bad at all.
Ashley Phillips
Ashley Phillips April 20, 2025
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
Dorothy Hernandez
Dorothy Hernandez November 30, 2025
Glad someone recommended this to me. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
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