On small covers over a product of simplices

Authors: MURAT ALTUNBULAK, ASLI GÜÇLÜKAN İLHAN

Abstract: In this paper, we give a formula for the number of $\mathbb{Z}_2^n$-equivariant homeomorphism classes of small covers over a product of simplices. We also give an upper bound for the number of small covers over a product of simplices up to homeomorphism.

Keywords: Small cover, equivariant homeomorphism, polytope, acyclic digraph

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