The Euler characteristic of a polyhedral product

被引：0
作者：
Michael W. Davis
机构：
[1] The Ohio State University,Department of Mathematics
来源：
Geometriae Dedicata | 2012年 / 159卷
关键词：
Charney–Davis conjecture; Euler characteristic; Graph product; Polyhedral product; 20F65; 57M07; 13F55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given a finite simplicial complex L and a collection of pairs of spaces indexed by the vertices of L, one can define the “polyhedral product” of the collection with respect to L. We record a simple formula for its Euler characteristic. In special cases the formula simplifies further to one involving the h-polynomial of L.
引用
收藏
页码：263 / 266
页数：3
相关论文
共 50 条
[41]   Bicovariograms and Euler characteristic of random fields excursions [J].
Lachieze-Rey, Raphael .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 129 (11) :4687-4703
[42]   The Euler characteristic of a category as the sum of a divergent series [J].
Berger, Clemens ;
Leinster, Tom .
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2008, 10 (01) :41-51
[43]   The vanishing Euler characteristic of an isolated determinantal singularity [J].
J. J. Nuño-Ballesteros ;
B. Oréfice-Okamoto ;
J. N. Tomazella .
Israel Journal of Mathematics, 2013, 197 :475-495
[44]   The Euler Characteristic of Phantom Elastomeric Polymer Networks [J].
Galiatsatos, Vassilios ;
Heinrich, Gert .
MACROMOLECULAR THEORY AND SIMULATIONS, 2011, 20 (03) :212-218
[45]   FORMAL BARYCENTER SPACES WITH WEIGHTS: THE EULER CHARACTERISTIC [J].
Kallel, Sadok .
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 53 (02) :801-823
[46]   Euler characteristic and fixed-point theorems [J].
Cornet, B .
POSITIVITY, 2002, 6 (03) :243-260
[47]   Complexity and algorithms for Euler characteristic of simplicial complexes [J].
Roune, Bjarke Hammersholt ;
Saenz-de-Cabezon, Eduardo .
JOURNAL OF SYMBOLIC COMPUTATION, 2013, 50 :170-196
[48]   A Hochschild homology Euler characteristic for circle actions [J].
Geoghegan, R ;
Nicas, A .
K-THEORY, 1999, 18 (02) :99-135
[49]   Degree formulas for the Euler characteristic of semialgebraic sets [J].
Lapebie, Julie .
HOKKAIDO MATHEMATICAL JOURNAL, 2019, 48 (03) :461-473
[50]   TARGET ENUMERATION VIA EULER CHARACTERISTIC INTEGRALS [J].
Baryshnikov, Yuliy ;
Ghrist, Robert .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2009, 70 (03) :825-844
12345