Orientable Small Covers over a Product Space  

作　　者：Danting WANG Yanying WANG Yanhong DING 

机构地区：[1]College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China

出　　处：《Chinese Annals of Mathematics,Series B》2016年第3期331-356,共26页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11371118);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20121303110004);the Natural Science Foundation of Hebei Province(No.A2011205075)

摘　　要：A small cover is a closed manifold M^n with a locally standard （Z2）^n-action such that its orbit space is a simple convex polytope P^n. Let A^n denote an n-simplex and P（m） an m-gon. This paper gives formulas for calculating the number of D-J equivalent classes and equivariant homeomorphism classes of orientable small covers over the product space △^n1 × △^n2 × P（m）, where n1 is odd.

关 键 词：（Z2）^n-Action Small cover Equivariant homeomorphism POLYTOPE 

分 类 号：O187[理学—数学]