Chern-Weil construction for twisted K-theory

Kiyonori Gomi, Yuji Terashima

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We give a finite-dimensional and geometric construction of a Chern character for twisted K-theory, introducing a notion of connection on a twisted vectorial bundle which can be considered as a finite-dimensional approximation of a twisted family of Fredholm operators. Our construction is applicable to the case of any classes giving the twisting, and agrees with the Chern character of bundle gerbe modules in the case of torsion classes.

Original languageEnglish
Pages (from-to)225-254
Number of pages30
JournalCommunications in Mathematical Physics
Volume299
Issue number1
DOIs
Publication statusPublished - 2010 Jun 25
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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