Turkish Journal of Mathematics
Abstract
The equivariant homeomorphism class of an (orientable) small cover over a simple convex polytope P^n bijectively corresponds to the equivalence class of its (orientable) coloring under the action of automorphism group of face poset of P^n. 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.
DOI
10.3906/mat-1005-305
Keywords
Small cover, equivariant homeomorphism, polytope, coloring
First Page
161
Last Page
172
Recommended Citation
WANG, Y, & CHEN, Y (2012). Small covers over products of a polygon with a simplex. Turkish Journal of Mathematics 36 (1): 161-172. https://doi.org/10.3906/mat-1005-305
