G_(n,2)的Witten复形的同调群  

On Homology Groups of G_(n,2) by Witten Complex

作　　者：何刚[1] 李明[2] 杨莹[2] 

机构地区：[1]遵义师范学院数学系,贵州遵义563002 [2]重庆理工大学数学与统计学院,重庆400054

出　　处：《西南师范大学学报（自然科学版）》2013年第8期35-40,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市科委自然科学基金项目(cstc2011jjA00026)

摘　　要：通过研究实Grassmann流形Gn,2的Witten复形,给出了该复形的同调群的具体公式.根据Witten复形的基本结论可知,Gn,2的Witten复形的同调群恰是Gn,2的整系数奇异同调群.In this paper,a direct calculation of the homology groups of Z-coefficients of the real Grassmannian manifold Gn,2 has been given in constructing Witten complex.The explicit formula of the homology groups of Z-coefficients of the real Grassmannian manifold Gn,2 has been given.

关 键 词：GRASSMANN流形 Witten复形 同调群 

分 类 号：O189.22[理学—数学]