English

The Euler characteristic of a polyhedral product

Geometric Topology 2014-07-24 v1 Combinatorics Group Theory

Abstract

Given a finite simplicial complex L and a collection of pairs of spaces indexed by its vertex set, one can define their polyhedral product. We record a simple formula for its Euler characteristic. In special cases the formula simplifies further to one involving the h-polynomial of L.

Keywords

Cite

@article{arxiv.1103.3034,
  title  = {The Euler characteristic of a polyhedral product},
  author = {Michael W. Davis},
  journal= {arXiv preprint arXiv:1103.3034},
  year   = {2014}
}

Comments

5 pages

R2 v1 2026-06-21T17:39:58.979Z