Download E-books Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110) (Annals of Mathematics Studies) PDF

By David Eisenbud

This publication offers a brand new origin for the idea of hyperlinks in 3-space modeled at the sleek developmentby Jaco, Shalen, Johannson, Thurston et al. of the speculation of 3-manifolds. the elemental building is a technique of acquiring any hyperlink by means of "splicing" hyperlinks of the easiest varieties, particularly these whose exteriors are Seifert fibered or hyperbolic. This method of hyperlink idea is especially beautiful given that so much invariants of hyperlinks are additive below splicing.

Specially special from this perspective is the category of hyperlinks, none of whose splice parts is hyperbolic. It comprises all hyperlinks developed by way of cabling and hooked up sums, specifically all hyperlinks of singularities of complicated aircraft curves. one of many major contributions of this monograph is the calculation of invariants of those periods of hyperlinks, similar to the Alexander polynomials, monodromy, and Seifert forms.

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