turkmath.org

A small cover over an n-dimensional simple convex polytope P is a smooth closed manifold with a locally standard $\mathbb{Z}_2^n$-action whose orbit space can be identified with P. Small covers over P can be classified using characteristic functions from the set of facets of P to $\mathbb{Z}_2^n$. In this talk, we give a weakly $\mathbb{Z}_2^n$-equivariant classification of small covers over a product of simplices in terms of associated digraphs. This is a joint work with S. Kaan Gürbüzer.