| 高阶丛束的K-理论 |
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| 引用本文： | 吴正尧,高玉彬,唐国平.高阶丛束的K-理论[J].中国科学院研究生院学报,2010,27(6):721-738. |
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| 作者姓名： | 吴正尧 高玉彬 唐国平 |
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| 作者单位： | 1. 中国科学院研究生院数学科学学院,北京,100049
2. 北京航空航天大学,北京,100191 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (10671202) and "Hundred Talent" Program of the Chinese Academy of Sciences |
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| 摘 要： | 旨在将束的概念推广到高阶束.回顾了D-膜电荷的分类作为研究束的依据,并按照高阶层-堆的过程建立高阶束的结构.考虑了纤维丛上的例子,给出了稳定同构的3个等价条件。
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| 关 键 词： | 丛束 K-理论 上同调 稳定同构 |
| 收稿时间： | 2010-04-08 |
| 修稿时间： | 2010-04-28 |
K-theory of higher bundle gerbes |
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| WU Zheng-Yao,GAO Yu-Bin,TANG Guo-Ping.K-theory of higher bundle gerbes[J].Journal of the Graduate School of the Chinese Academy of Sciences,2010,27(6):721-738. |
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| Authors: | WU Zheng-Yao GAO Yu-Bin TANG Guo-Ping |
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| Institution: | 1. School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China;
2. Beijing University of Aeronautics and Astronautics, Beijing 100191, China |
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| Abstract: | We aim to generalize gerbes to higher gerbes. This paper reviews the history of classification of D-brane charges as evidence for gerbes, then present a higher sheaf-stack procedure to investigate the n-gerbe structure.This study also considers examples on a fibred bundle. Our conclusion offers three equivalent conditions for stable isomorpoism. |
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| Keywords: | bundle gerbe K-theory cohomology stable isomorphism |
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