Three–Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM–110), Volume 110 (Annals of Mathematics Studies, 110) - Image 1

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Princeton University Press Three–Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM–110), Volume 110 (Annals of Mathematics Studies, 110)

Name: Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 (Annals of Mathematics Studies, 110)
Brand: Princeton University Press
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Combinatorics & Graph Theory

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This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.

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Brand: Princeton University Press
Format: paperback
ASIN: 0691083819
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Combinatorics & Graph Theory
Domain: Amazon UK
Release Date: 01 July 1992
Listed Since: 05 January 2007

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Princeton University Press Three–Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM–110), Volume 110 (Annals of Mathematics Studies, 110)

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