Three–Dimensional Link Theory & Invariants of Plan Curve Singularities (Annals of Mathematics Studies, 110) - Hardcover

Eisenbud, D

Hardcover

ISBN 10: 0691083800 ISBN 13: 9780691083803

Publisher: Princeton University Press, 1992

Synopsis

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.

Edition details

• Publisher: Princeton University Press
• Publication date: 1992
• Language: English
• ISBN 10: 0691083800
• ISBN 13: 9780691083803
• Binding: Hardcover
• Number of pages: 180