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High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2
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High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2 Hardcover - 1998

by Appendix by E. Winkelnkemper; Andrew Ranicki


From the publisher

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.

From the rear cover

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.

Details

  • Title High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2
  • Author Appendix by E. Winkelnkemper; Andrew Ranicki
  • Binding Hardcover
  • Edition 1st
  • Pages 646
  • Volumes 1
  • Language ENG
  • Publisher Springer, Berlin, Germany
  • Date 1998-08-06
  • ISBN 9783540633891 / 3540633898
  • Weight 2.2 lbs (1.00 kg)
  • Dimensions 9.52 x 6.39 x 1.58 in (24.18 x 16.23 x 4.01 cm)
  • Library of Congress Catalog Number 98025080
  • Dewey Decimal Code 514.224
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High-dimensional Knot Theory: Algebraic Surgery in Codimension 2
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High-dimensional Knot Theory: Algebraic Surgery in Codimension 2

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High-dimensional Knot Theory
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HIGH-DIMENSIONAL KNOT THEORY (MONOGRAPHS IN MATHEMATICS )
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High-dimensional Knot Theory : Algebraic Surgery in Codimension 2

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High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2
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High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2

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High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monographs in...
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