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. , Volume 110 PDF

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