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Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 (Paperback)
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Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 (Paperback)
Series: Annals of Mathematics Studies
Expected to ship within 12 - 17 working days
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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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