A01=Weiping Li
Author_Weiping Li
Bridge Number
Casson Type Invariant
Category=PBF
Category=PBPD
Category=UYA
Characterization of Braid Representation
Crossing Number
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Hecke Algebra
Jones Polynomial
Kauffman Bracket
Knot Classifications
Linking Number
Magnus Representation
Ocneanu Trace
Reidemeister Moves
Tait Conjectures
Twisted Alexander Polynomial
Unknotting Number
Wirtinger Presentation
Product details
- ISBN 9789814675956
- Publication Date: 16 Oct 2015
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
