Three-Dimensional Link Theory and Invariants of Plane Curve Singularities (Annals of Mathematics Studies, 110) - Softcover

Book 138 of 202: Annals of Mathematics Studies

Eisenbud, David; Neumann, Walter D.

 
9780691083810: Three-Dimensional Link Theory and Invariants of Plane Curve Singularities (Annals of Mathematics Studies, 110)
Softcover
ISBN 10: 0691083819 ISBN 13: 9780691083810
Publisher: Princeton University Press, 1986

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.

"synopsis" may belong to another edition of this title.

Publisher
Princeton University Press
Publication date
1986
Language
English
ISBN 10 
0691083819
ISBN 13 
9780691083810
Binding
Paperback
Number of pages
180

Other Popular Editions of the Same Title

9780691083803: Three-Dimensional Link Theory and Invariants of Plane Curve Singularities (Annals of Mathematics Studies, 110)

Featured Edition

ISBN 10:  0691083800 ISBN 13:  9780691083803
Publisher: Princeton University Press, 1986
Hardcover