Kniha High-dimensional Knot Theory Andrew Ranicki

High-dimensional Knot Theory

Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer, Berlin
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 286
High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dime...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
1998
Stránek
646
EAN
9783540633891
ISBN
3540633898
Enbook ID
05274738
Vydavatel
Hmotnost
1172
Rozměry
156 x 234 x 36

Kompletní popis

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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