Lecture Notes on Knot Invariants - Hardcover

Li, Weiping

Hardcover

ISBN 10: 9814675954 ISBN 13: 9789814675956

Publisher: World Scientific Publishing Company, 2015

Synopsis

 

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.

About this title

From the Back Cover

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 CassonLin 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.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2015
• Language: English
• ISBN 10: 9814675954
• ISBN 13: 9789814675956
• Binding: Hardcover
• Number of pages: 246