High-dimensional knot theory. Algebraic surgery in...

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High-dimensional knot theory. Algebraic...

High-dimensional knot theory. Algebraic surgery in codimension 2. With errata

Name: High-dimensional knot theory. Algebraic surgery in codimension 2. With errata
ISBN: 9783540633891

Andrew Ranicki, E. Winkelnkemper

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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.

Категории:

Mathematics

Год:

1998

Издание:

Издательство:

Springer

Язык:

english

Страницы:

706

ISBN 10: