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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

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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

4.85 44,797 ratings · 6,968 reviews
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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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Pages 200
Published October 1, 1999
ISBN 2498534
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S. Cappell
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S. Cappell
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S. Cappell is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, S. Cappell can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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Michelle Wilson
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Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre.
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A decent, if standard, experience. Certain acts were fascinating, while others felt like a slight endeavor to complete. A fair 3 stars.
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A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel.
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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.
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I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend.
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Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece.
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Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars.
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Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece.
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Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre.
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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 very distinguished novel.
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A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend.
Joseph Garcia
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Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars.
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A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel.
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Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem.
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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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Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece.
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Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece.
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Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre.
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Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem.
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Excellent, though slightly flawed. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend.
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An acceptable diversion. The prose was competent, yet the characters lacked the depth I usually seek. A fair 3 stars.
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I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading.
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A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend.
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A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel.
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Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece.
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A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem.
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Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem.
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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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