Small covers over products of a polygon with a simplex

Authors : Yanying Wang And Yanchang CHEN, Yanying WANG

Pages : 161-172

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The equivariant homeomorphism class of an insert ignore into journalissuearticles values(orientable); small cover over a simple convex polytope Pn bijectively corresponds to the equivalence class of its insert ignore into journalissuearticles values(orientable); coloring under the action of automorphism group of face poset of Pn. By calculating the number of orbits of group actions we determine the number of equivariant homeomorphism classes of small covers over products of a polygon with a simplex. Moreover, we calculate the number of equivariant homeomorphism classes of all orientable small covers over the product.
Keywords : Small cover, equivariant homeomorphism, polytope, coloring