N\'emethi's division algorithm for zeta-functions of plumbed 3-manifolds

Autor:	László, Tamás, Szilágyi, Zsolt
Rok vydání:	2017
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
DOI:	10.1112/blms.12198
Popis:	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. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1708.01093 Zobrazit plný text záznamu View this record from Arxiv