arXiv Open Access 2023

Symmetric Products and a Cartan-type formula for polyhedral products

A. Bahri M. Bendersky F. R. Cohen S. Gitler

Lihat Sumber

Abstrak

We give a geometric method for determining the cohomology groups of a polyhedral product under suitable freeness conditions or with coefficients taken in a field. This is done by considering first the special case for which the pairs of spaces are wedge decomposable. We derive a decomposition for these polyhedral products which resembles a Cartan formula. The theory of symmetric products is used then to generalize the result to polyhedral products involving arbitrary pairs. This leads to a direct computation of the Hilbert-Poincaré series and to other applications.

Topik & Kata Kunci

math.AT math.CO

Penulis (4)

A. Bahri

M. Bendersky

F. R. Cohen

S. Gitler

Format Sitasi

APA MLA BibTeX

Bahri, A., Bendersky, M., Cohen, F.R., Gitler, S. (2023). Symmetric Products and a Cartan-type formula for polyhedral products. https://arxiv.org/abs/2305.14212

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓