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16 April 2024

» arxiv » arxiv.0704.3145

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Surgery formula for Seiberg--Witten invariants of negative definite plumbed 3-manifolds
Gabor Braun ; Andras Nemethi ;
Date:	24 Apr 2007
Subject:	Geometric Topology (math.GT); Algebraic Geometry (math.AG)
Abstract:	We derive a cut-and-paste surgery formula of Seiberg--Witten invariants for negative definite plumbed rational homology 3-spheres. It is similar to (and motivated by) Okuma’s recursion formula [arXiv:math.AG/0610464, 4.5] targeting analytic invariants of splice quotient singularities. The two formulas combined provide automatically a proof of the equivariant version [arXiv:math.AG/0310084, 5.2(b)] of the `Seiberg--Witten invariant conjecture’ [arXiv:math.AG/0111298] for these singularities.
Source:	arXiv, arxiv.0704.3145
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