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高阶丛束的K-理论(英文)

K-theory of higher bundle gerbes
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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。 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.
出处 《中国科学院研究生院学报》 CAS CSCD 北大核心 2010年第6期721-738,共18页 Journal of the Graduate School of the Chinese Academy of Sciences
基金 Supported by the National Natural Science Foundation of China (10671202) "Hundred Talent"Program of the Chinese Academy of Sciences
关键词 丛束 K-理论 上同调 稳定同构 bundle gerbe K-theory cohomology stable isomorphism
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