NON-NORMAL AFFINE MONOIDS, MODULES AND POINCARE SERIES OF PLUMBED 3-MANIFOLDS

被引：3

作者：

Laszlo, T. ^{[1
,2
]}

Szilagyi, Zs. ^{[2
]}

机构：

[1] Basque Ctr Appl Math, Mazarredo 14, E-48009 Bilbao, Basque Country, Spain

[2] Hungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda U 13-15, H-1053 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2017年 / 152卷 / 02期

关键词：

normal surface singularity; links of singularity; non-normal affine monoid; plumbing graph; rational homology sphere; Poincare series; Seiberg-Witten invariant; polynomial part; SEIBERG-WITTEN INVARIANTS; FLOER HOMOLOGY;

D O I：

10.1007/s10474-017-0726-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a non-normal affine monoid together with its modules associated with a negative definite plumbed 3-manifold M. In terms of their structure, we describe the H1(M, Z)-equivariant parts of the topological Poincare series. In particular, we give combinatorial formulas for the Seiberg-Witten invariants of M and for polynomial generalizations defined in [17].

引用

页码：421 / 452

页数：32

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