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›› 2010, Vol. 27 ›› Issue (6): 721-738.DOI: 10.7523/j.issn.2095-6134.2010.6.001

• Research Articles •     Next Articles

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 Online:2010-11-15

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

CLC Number: