中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Gluing pseudo functors via n-fold categories

文献类型:期刊论文

作者Zheng, Weizhe
刊名JOURNAL OF HOMOTOPY AND RELATED STRUCTURES
出版日期2017-03-01
卷号12期号:1页码:189-271
关键词Pseudo functor Gluing data 2-Category n-Fold category Hypercube
ISSN号2193-8407
DOI10.1007/s40062-016-0126-2
英文摘要Gluing of two pseudo functors has been studied by Deligne, Ayoub, and others in the construction of extraordinary direct image functors in etale cohomology, stable homotopy, and mixed motives of schemes. In this article, we study more generally the gluing of finitely many pseudo functors. Given pseudo functors F-i : A(i) -> D defined on sub-2-categories A(i) of a 2-category C, we are concerned with the problem of finding pseudo functors C -> D extending F-i up to pseudo natural equivalences. With the help of n-fold categories, we organize gluing data for n pseudo functors into 2-categories. We establish general criteria for equivalence between such 2-categories for n pseudo functors and for n - 1 pseudo functors, which can be applied inductively to the gluing problem. Results of this article are used in Zheng (Sci China Math 58(3): 565-632, 2015) to construct extraordinary direct image functors in etale cohomology of Deligne-Mumford stacks.
语种英语
WOS记录号WOS:000401575900008
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25320]  
专题数学所
通讯作者Zheng, Weizhe
作者单位Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
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Zheng, Weizhe. Gluing pseudo functors via n-fold categories[J]. JOURNAL OF HOMOTOPY AND RELATED STRUCTURES,2017,12(1):189-271.
APA Zheng, Weizhe.(2017).Gluing pseudo functors via n-fold categories.JOURNAL OF HOMOTOPY AND RELATED STRUCTURES,12(1),189-271.
MLA Zheng, Weizhe."Gluing pseudo functors via n-fold categories".JOURNAL OF HOMOTOPY AND RELATED STRUCTURES 12.1(2017):189-271.

入库方式: OAI收割

来源:数学与系统科学研究院

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