Description

Book 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.

Lecture Notes On Knot Invariants

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A Paperback / softback by Weiping Li

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    View other formats and editions of Lecture Notes On Knot Invariants by Weiping Li

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 16/10/2015
    ISBN13: 9789814675963, 978-9814675963
    ISBN10: 9814675962
    Also in:
    Mathematical theory of computation Algebra Algebraic topology

    Description

    Book 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.

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