2-环面流形的可定向性与等变定向配边
代数拓扑
2016-04-27 v4
摘要
我们给出了具有不动点的局部标准2-环面流形可定向性的一个充要条件，该条件推广了Nakayama-Nishimura在2005年和Soprunova-Sottile在2013年的先前结果。我们构造了带边流形，其边界是局部标准2-环面流形的不交并。我们讨论了局部标准2-环面流形的等变定向配边类。
引用
@article{arxiv.1007.5105,
title = {Orientability and equivariant oriented cobordism of 2-torus manifolds},
author = {Soumen Sarkar},
journal= {arXiv preprint arXiv:1007.5105},
year = {2016}
}
备注
17 pages, 6 figures, Previous version contained two parts. 1. Oriented cobordism of $\CP^{2k+1}$ which is available in http://arxiv.org/abs/1011.0554. 2. oriented cobordism of $\RP^{2k+1}$. The results and constructions of second part are generalized to the category of 2-torus manifolds in the present version