Three-Dimensional Link Theory and Invariants of Plane Curve Singularities

Neumann, Walter D., Eisenbud, David

ISBN 10: 0691083800 / ISBN 13: 9780691083803

Published by Princeton University Press, 1986

Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 753741-6

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.

Bibliographic Details

Title: Three-Dimensional Link Theory and Invariants...
Publisher: Princeton University Press
Publication Date: 1986
Binding: Hardcover
Condition: Good
Edition: 1st.