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Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology

Posted on 2010-03-16




Name:Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology
ASIN/ISBN:0821808982
Language:English
File size:10.2 Mb
Publisher: Amer Mathematical Society
ISBN: 0821808982
Publish Date: edition 1997
File Type: PDF
Pages: 250 pages
File Size: 10,2 mb
   Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology

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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.

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