The Euler characteristic of a polyhedral product

被引：2

作者：

Davis, Michael W. ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

GEOMETRIAE DEDICATA | 2012年 / 159卷 / 01期

基金：

美国国家科学基金会;

关键词：

Charney-Davis conjecture; Euler characteristic; Graph product; Polyhedral product;

D O I：

10.1007/s10711-011-9655-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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

页码：263 / 266

页数：4

共 5 条

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[2]

Davis M.W., GROUPS GEOM IN PRESS

[3] Right-angularity, flag complexes, asphericity [J].

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GEOMETRIAE DEDICATA, 2012, 159 (01) :239-262

[4]

Davis Michael W., 2008, London Math. Soc. Monogr. Ser., V32

[5]

Denham G, 2007, PURE APPL MATH Q, V3, P25

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