High-dimensional Knot Theory (eBook, PDF)
Andrew Ranicki
eBook, PDF

High-dimensional Knot Theory (eBook, PDF)

Algebraic Surgery in Codimension 2

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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. Th...

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