Knots, Links, Braids and 3-Manifolds pdf epub mobi txt 电子书下载 2024

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V. V. Prasolov

American Mathematical Society

1996-10

250

Hardcover

Translations of Mathematical Monographs

9780821805886

图书标签: 俄国 topology

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发表于2024-12-25

Knots, Links, Braids and 3-Manifolds epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Knots, Links, Braids and 3-Manifolds pdf epub mobi txt 电子书下载 2024

图书描述

This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. It emphasizes the geometric aspects of the theory and treats topics such as braids, homeomorphisms of surfaces, surgery of 3-manifolds (Kirby calculus), and branched coverings. This attractive geometric material, interesting in itself yet not previously gathered in book form, constitutes the basis of the last two chapters, where the Jones-Witten invariants are constructed via the rigorous skein algebra approach (mainly due to the Saint Petersburg school).

Unlike several recent monographs, where all of these invariants are introduced by using the sophisticated abstract algebra of quantum groups and representation theory, the mathematical prerequisites are minimal in this book. Numerous figures and problems make it suitable as a course text and for self-study.

Knots, Links, Braids and 3-Manifolds 下载 mobi epub pdf txt 电子书