The Second Stiefel-Whitney Class of Small Covers  

作　　者：Zhangmin HUANG 

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,China

出　　处：《Chinese Annals of Mathematics,Series B》2020年第2期163-176,共14页数学年刊（B辑英文版）

摘　　要：Let π : Mn→Pn be an n-dimensional small cover over Pn and λ : F(Pn)→Z2n be its characteristic function. The author uses the symbol c(λ) to denote the cardinal number of the image Im(λ). If c(λ) = n + 1 or n + 2, then a necessary and sufficient condition on the existence of spin structure on Mnis given. As a byproduct, under some special conditions, the author uses the second Stiefel-Whitney class to detect when Pn is n-colorable or(n + 1)-colorable.

关 键 词：SMALL COVER SPIN structure Simple POLYTOPE 

分 类 号：O186.1[理学—数学]