By Andrew Ranicki, E. Winkelnkemper
High-dimensional knot idea is the examine of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the conventional research of knots within the case n=1. the most subject is the appliance of the author's algebraic conception of surgical procedure to supply a unified remedy of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert varieties of classical knot idea. Many leads to the study literature are therefore introduced right into a unmarried framework, and new effects are acquired. The therapy is especially powerful in facing open books, that are manifolds with codimension 2 submanifolds such that the supplement fibres over a circle. The ebook concludes with an appendix by way of E. Winkelnkemper at the historical past of open books.
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