Información General

• Autores: Andrew Ranicki, Elmar Winkelnkemper
• Editores: Berlin [etc. : Springer, cop. 1998
• Año de publicación: 1998
• País: Alemania
• Idioma: inglés
• ISBN: 3-540-63389-8
• Texto completo no disponible (Saber más ...)

Resumen

• 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.

Otros catálogos

• Red de Bibliotecas Universitarias (REBIUN)

Índice

• From the Table of Contents: Part 1. algebraic K-theory, finite structures, geometric bands, algebraic bands, localization and completion, K-theory of polynomial extensions, K-theory of formal power series, algebraic transversality, finite domination, noncommutative localization, endomorphism K-theory, the characteristic polynomial, primary endomorphism K-theory, automorphism K-theory, Witt vectors, the fibering obstruction, Reidemeister torsion, K-theory of Dedekind rings, K-theory of function fields, .....