High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2
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Book Overview
High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. The main theme is the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert forms of classical knot theory. Many results in the research literature are thus brought into a single framework, and new results are obtained. The treatment is particularly effective in dealing with open books, which are manifolds with codimension 2 submanifolds such that the complement fibres over a circle. The book concludes with an appendix by E. Winkelnkemper on the history of open books.
Format:Paperback
Language:English
ISBN:3642083293
ISBN13:9783642083297
Release Date:December 2010
Publisher:Springer
Length:646 Pages
Weight:2.08 lbs.
Dimensions:1.4" x 6.1" x 9.2"
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