The Chen-Ruan cohomology of almost contact orbifolds

doi:10.1007/s10114-010-6623-z

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	The Chen-Ruan cohomology of almost contact orbifolds
	Ding, Fan 1; Jiang, Yun Feng 2; Pan, Jian Zhong3
	2010
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	26 期号:1 页码:77-88
摘要	Comparing to the Chen-Ruan cohomology theory for the almost complex orbifolds, we study the orbifold cohomology theory for almost contact orbifolds. We define the Chen-Ruan cohomology group of any almost contact orbifold. Using the methods for almost complex orbifolds, we define the obstruction bundle for any 3-multisector of the almost contact orbifolds and the Chen-Ruan cup product for the Chen-Ruan cohomology. We also prove that under this cup product the direct sum of all dimensional orbifold cohomology groups constitutes a cohomological ring. Finally we calculate two examples.
关键词	almost contact orbifolds Chen-Ruan cohomology twisted sectors almost complex orbifold
DOI	10.1007/s10114-010-6623-z
语种	英语
资助项目	NSFC[60603004] ; NSFC[10631060]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000273586200005
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10482
专题	数学所
通讯作者	Ding, Fan
作者单位	1.Peking Univ, Sch Math, Beijing 100871, Peoples R China 2.Univ Utah, Dept Math, Salt Lake City, UT 84112 USA 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ding, Fan,Jiang, Yun Feng,Pan, Jian Zhong. The Chen-Ruan cohomology of almost contact orbifolds[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2010,26(1):77-88.
APA	Ding, Fan,Jiang, Yun Feng,&Pan, Jian Zhong.(2010).The Chen-Ruan cohomology of almost contact orbifolds.ACTA MATHEMATICA SINICA-ENGLISH SERIES,26(1),77-88.
MLA	Ding, Fan,et al."The Chen-Ruan cohomology of almost contact orbifolds".ACTA MATHEMATICA SINICA-ENGLISH SERIES 26.1(2010):77-88.