High-dimensional Knot Theory: Algebraic Surgery in Codimension 2

di Andrew Ranicki (Autore)

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 1998

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.

• Autore: Andrew Ranicki
• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Collana: Springer Monographs in Mathematics
• Anno: 1998
• Rilegatura: Hardback
• Pagine: 646 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783540633891

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