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arXiv · 2204.00114

Generalized virtual polytopes and quasitoric manifolds

Askold Khovanskii·Ivan Limonchenko·Leonid Monin
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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.

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Askold Khovanskii, Ivan Limonchenko, Leonid Monin. 2022-03-31. Generalized virtual polytopes and quasitoric manifolds. https://arxiv.org/abs/2204.00114

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