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
[21]   Valuations in Godel Logic, and the Euler Characteristic [J].
Codara, Pietro ;
D'Antona, Ottavio M. ;
Marra, Vincenzo .
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2012, 19 (1-3) :71-84
[22]   Euler characteristic and quadrilaterals of normal surfaces [J].
Kalelkar, Tejas .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2008, 118 (02) :227-233
[23]   Quotients of incidence algebras and the Euler characteristic [J].
Assem, Ibrahim ;
Castonguay, Diane ;
Marcos, Eduardo N. ;
Trepode, Sonia .
COMMUNICATIONS IN ALGEBRA, 2007, 35 (04) :1075-1086
[24]   Euler characteristic and quadrilaterals of normal surfaces [J].
Tejas Kalelkar .
Proceedings Mathematical Sciences, 2008, 118 :227-233
[25]   On the Euler characteristic of Kronecker moduli spaces [J].
Thorsten Weist .
Journal of Algebraic Combinatorics, 2013, 38 :567-583
[26]   COMPUTING THE EULER CHARACTERISTIC OF A MANIFOLD WITH BOUNDARY [J].
LEVINE, H .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (08) :2563-2567
[27]   Bicovariograms and Euler characteristic of regular sets [J].
Lachieze-Rey, R. .
MATHEMATISCHE NACHRICHTEN, 2018, 291 (2-3) :398-419
[28]   The dual polyhedral product, cocategory and nilpotence [J].
Theriault, Stephen .
ADVANCES IN MATHEMATICS, 2018, 340 :138-192
[29]   On the Euler characteristic of Kronecker moduli spaces [J].
Weist, Thorsten .
JOURNAL OF ALGEBRAIC COMBINATORICS, 2013, 38 (03) :567-583
[30]   Validity of the expected Euler characteristic heuristic [J].
Taylor, J ;
Takemura, A ;
Adler, RJ .
ANNALS OF PROBABILITY, 2005, 33 (04) :1362-1396
12345