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Lecture Notes on Knot Invariants

Lecture Notes on Knot Invariants

Hardcover

General MathematicsGeometry

ISBN10: 9814675954
ISBN13: 9789814675956
Publisher: World Scientific Publishing Company
Published: Oct 16 2015
Pages: 244
Weight: 1.10
Height: 0.70 Width: 6.10 Depth: 9.10
Language: English
The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the detailed Hecke algebra and braid representation to illustrate the original Jones polynomial (rather than the algebraic formal definition many other books and research articles use) and provides self-contained proofs of the Tait conjecture (one of the big achievements from the Jones invariant). It also presents explicit computations to the Casson-Lin invariant via braid representations.With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems.

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Li, Weiping

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General Mathematics