ENGLISH

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

By Andrew Ranicki , E. Winkelnkemper

Book information

Publisher
Springer
Year
1998
ISBN
3540633898, 9783540633891
LCC
QA612.2 .R363 1998
Open Library ID
OL364780M
Language
english
Format
PDF
Filesize
3 MB (2826546 bytes)
Series
Springer monographs in mathematics
Edition
1
Pages
706\706
Topic
Mathematics Algebra
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

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.

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