Seiberg-Witten invariants and surface singularities II. Singularities with good $\C^*$-action
Algebraic Geometry
2007-05-23 v1 Geometric Topology
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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Cite
@article{arxiv.math/0201120,
title = {Seiberg-Witten invariants and surface singularities II. Singularities with good $\C^*$-action},
author = {Andras Nemethi and Liviu I. Nicolaescu},
journal= {arXiv preprint arXiv:math/0201120},
year = {2007}
}
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12 pages