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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.35 no.s1 (2008), pp. 293-302
Twisted K-Theory, Twisted Cohomology, and Dirac Type Operators
Jouko Mickelsson
Department of Mathematics and Statistics, University of Helsinki, and Department of Theoretical Physics, Royal Institute of Technology, Stockholm
go backDepartment of Mathematics and Statistics, University of Helsinki, and Department of Theoretical Physics, Royal Institute of Technology, Stockholm
Abstract. The basics of gerbes and twisted K-theory on a compact manifold X are discussed. Twisted Chern character in twisted K-theory is reviewed. Twisted families of local vector bundles are introduced and their use for twisted K-theory are illustrated by the examples X = SU(n) for n = 2,3.