Lecture Notes on Knot Invariants

LECTURE NOTES ON KNOT INVARIANTS

LECTURE NOTES ON KNOT INVARIANTS

Author: by Weiping Li (Author)

Publisher:‏World Scientific Publishing Company ‎

Edition:‏ ‎ N/A

Publication Date:‏ ‎ 2015-10-16

Language: ‎ English

Hardcover: ‎ 244 pages

ISBN-10: ‎ 9814675954

ISBN-13: ‎ 9789814675956

Product details

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.

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.

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