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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2

High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2

Winkelnkemper, E.
Ranicki, Andrew

Paperback

Series: Springer Monographs in Mathematics

General Mathematics

ISBN10: 3642083293
ISBN13: 9783642083297
Publisher: Springer Nature
Published: Dec 15 2010
Pages: 646
Weight: 2.08
Height: 1.37 Width: 6.14 Depth: 9.21
Language: English
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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