Generalized virtual polytopes and quasitoric manifolds
Algebraic Topology
2022-04-04 v1 Combinatorics
Abstract
In this paper we develop a theory of volume polynomials of generalized virtual polytopes based on the study of topology of affine subspace arrangements in a real Euclidean space. We apply this theory to obtain a topological version of the BKK Theorem, the Stanley-Reisner and Pukhlikov-Khovanskii type descriptions for cohomology rings of generalized quasitoric manifolds.
Cite
@article{arxiv.2204.00114,
title = {Generalized virtual polytopes and quasitoric manifolds},
author = {Askold Khovanskii and Ivan Limonchenko and Leonid Monin},
journal= {arXiv preprint arXiv:2204.00114},
year = {2022}
}
Comments
18 pages