The Second Stiefel-Whitney Class of Small Covers

被引：0
作者：
Zhangmin Huang
机构：
[1] Fudan University,School of Mathematical Sciences
来源：
Chinese Annals of Mathematics, Series B | 2020年 / 41卷
关键词：
Small cover; Spin structure; Simple polytope; 57R19; 57R20; 52B11;
D O I：
暂无
中图分类号：
学科分类号：
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 Mn is 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.
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页码：163 / 176
页数：13
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