Chern-Weil construction for twisted K-theory

Kiyonori Gomi; Yuji Terashima

doi:10.1007/s00220-010-1080-1

Chern-Weil construction for twisted K-theory

Kiyonori Gomi, Yuji Terashima

Research output: Contribution to journal › Article › peer-review

3 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 language	English
Pages (from-to)	225-254
Number of pages	30
Journal	Communications in Mathematical Physics
Volume	299
Issue number	1
DOIs	https://doi.org/10.1007/s00220-010-1080-1
Publication status	Published - 2010 Jun 25
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-010-1080-1

Cite this

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AB - 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.

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Chern-Weil construction for twisted K-theory

Abstract

ASJC Scopus subject areas

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