Communications in Mathematical Physics

, Volume 299, Issue 1, pp 225–254 | Cite as

Chern-Weil Construction for Twisted K-Theory

  • Kiyonori Gomi
  • Yuji TerashimaEmail author


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.


Vectorial Bundle Line Bundle Open Cover Cohomology Class Chern Class 
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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of MathematicsKyoto UniversityKyotoJapan
  2. 2.Department of MathematicsTokyo Institute of TechnologyTokyoJapan

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