Seiberg-Witten invariants and surface singularities II. Singularities with good \C^*-action

2002/01/14 by Andras Nemethi, Nemethi, Andras, Liviu I. Nicolaescu +1 · 1 citation
Mathematics · #14J17 #32S25 #4B05 #57M27 #57R57 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.GT #msc:14J17 #msc:32S25 #msc:4B05 #msc:57M27 #msc:57R57

paper · pdf · doi:10.48550/arxiv.math/0201120

12 pages

arxiv created 2002/01/14 · arxiv updated 2009/11/30

Abstract

This is a continuation of our paper math.AG/0111298. We prove an explicit formula for the geometric genus p_g of a quasihomogeneous isolated surface singularity in terms of the Seiberg-Witten invariant of the link and other topological data which can be read from a resolution graph of the singularity. Moreover, we also determine all the Reidemeister-Turaev sign-refined torsion of the link (associated with any spin^c structure) in terms of the Seifert invariants.

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