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中国科学院大学学报 ›› 2010, Vol. 27 ›› Issue (6): 721-738.DOI: 10.7523/j.issn.2095-6134.2010.6.001

• 论文 •    下一篇

高阶丛束的K-理论

吴正尧1, 高玉彬2, 唐国平1   

  1. 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
  • 收稿日期:2010-04-08 修回日期:2010-04-28 发布日期:2010-11-15
  • 基金资助:

    Supported by the National Natural Science Foundation of China (10671202) and "Hundred Talent" Program of the Chinese Academy of Sciences

K-theory of higher bundle gerbes

WU Zheng-Yao1, GAO Yu-Bin2, TANG Guo-Ping1   

  1. 1. School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China;
    2. Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2010-04-08 Revised:2010-04-28 Published:2010-11-15

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。

关键词: 丛束, K-理论, 上同调, 稳定同构

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.

Key words: bundle gerbe, K-theory, cohomology, stable isomorphism

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