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.

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

Science & Math

Eisenbud, David

Neumann, Walter D.

Mathematics

Princeton University Press

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.

See the best price to sell, buy, or rent books by Neumann, Walter D.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Neumann, Walter D.

See the best price to sell, buy, or rent books by Neumann, Walter D.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

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

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