Exotic twisted equivariant K-theory

JOURNAL OF GEOMETRY AND PHYSICS

卷:158

Article

Han, Fei¹  Mathai, Varghese² 

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

[2] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia

关键词: Loop space;    Gerbe;    Twisted equivariant K theory;   

DOI  :  10.1016/j.geomphys.2020.103930

来源: Elsevier

【 摘 要 】

In this paper we introduce exotic twisted T-equivariant K-theory of loop space LZ depending on the (typically non-flat) holonomy line bundle L-B on LZ of a gerbe with connection on Z. We define an exotic twisted T-equivariant Chern character on the exotic twisted T-equivariant K-theory of LZ that maps to the exotic twisted T-equivariant cohomology of LZ as previously defined in Han and Mathai (2015). (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free