Némethi's division algorithm for zeta-functions of plumbed 3-manifolds

Abstract

A polynomial counterpart of the Seiberg-Witten invariant associated with a negative definite plumbed 3-manifold has been proposed by earlier work of the authors. It is provided by a special decomposition of the zeta-function defined by the combinatorics of the manifold. In this article we give an algorithm, based on multivariable Euclidean division of the zeta-function, for the explicit calculation of the polynomial, in particular for the Seiberg--Witten invariant.

arXiv comment19 pages

References in corpus (5)

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• The geometric genus of splice-quotient singularities
• On the Casson Invariant Conjecture of Neumann--Wahl
• Ehrhart theory of polytopes and Seiberg-Witten invariants of plumbed 3-manifolds
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