The number of small covers over cubes and the product of at most three simplices up to equivariant cobordism

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Yanchang Chen¹  Yanying Wang¹ 

[1] College of Mathematics and Information Science, Hebei Normal University

关键词: Cobordism;    small cover;    tangential representation.;   

DOI  :  10.3792/pjaa.87.95

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

The equivariant cobordism class of a small cover over a simple convex polytope is determined by its tangential representation set. Since the tangential representation can be identified with the characteristic function of the simple convex polytope, by using characteristic functions we determine the number of small covers over cubes and the product of at most three simplices up to equivariant cobordism.

【 授权许可】

Unknown