高阶丛束的K-理论(英文)  

K-theory of higher bundle gerbes

作　　者：吴正尧[1] 高玉彬[2] 唐国平[1] 

机构地区：[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

出　　处：《中国科学院研究生院学报》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

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.

关 键 词：丛束 K-理论 上同调 稳定同构 

分 类 号：O189.25[理学—数学] O189.34[理学—基础数学]