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Twisted K-Theory and K-Theory of Bundle Gerbes

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Abstract:

In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to the classification of K-brane charges in nontrivial backgrounds are briefly discussed.

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Authors and Affiliations

  1. Department of Physics and Mathematical Physics, University of Adelaide, Adelaide, SA 5005, Australia. E-mail: pbouwkne@physics.adelaide.edu.au, , , , , , AU

    Peter Bouwknegt

  2. Department of Pure Mathematics, University of Adelaide, Adelaide, SA 5005, Australia.¶E-mail: pbouwkne@maths.adelaide.edu.au; acarey@maths.adelaide.edu.au;¶vmathai@maths.adelaide.edu.au; mmurray@maths.adelaide.edu.au; dstevens@maths.adelaide.edu.au, , , , , , AU

    Alan L. Carey, Varghese Mathai, Michael K. Murray & Danny Stevenson

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  1. Peter Bouwknegt
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  2. Alan L. Carey
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  3. Varghese Mathai
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  4. Michael K. Murray
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  5. Danny Stevenson
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Received: 29 June 2001 / Accepted: 15 October 2001

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Bouwknegt, P., Carey, A., Mathai, V. et al. Twisted K-Theory and K-Theory of Bundle Gerbes. Commun. Math. Phys. 228, 17–49 (2002). https://doi.org/10.1007/s002200200646

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  • DOI: https://doi.org/10.1007/s002200200646

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