High-dimensional Knot Theory

Name: High-dimensional Knot Theory
Brand: Springer, Berlin
SKU: 9783642083297
Price: 551.94 RON
Availability: InStock

Algebraic Surgery in Codimension 2

Autor: Andrew Ranicki

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Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dime...

Informații despre carte

Autor

Andrew Ranicki

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

646

EAN

9783642083297

ISBN

3642083293

Enbook ID

05281116

Editura

Springer, Berlin

Greutate

1038

Dimensiuni

155 x 235 x 34

Descriere completă

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. This is the first book entirely devoted to high-dimensional knots. 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. Bringing together many results previously scattered throughout the research literature into a single framework, this work concentrates on 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.

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High-dimensional Knot Theory

Algebraic Surgery in Codimension 2

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