Geodesic
A new approach to twisted K–theory of compact Lie groups
Rosenberg, Jonathan1
1Department of Mathematics, University of Maryland, College Park, MD, United States
Algebraic and Geometric Topology, Tome 20 (2020) no. 1, pp. 135-167
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We further explore the computation of the twisted K–theory and K–homology of compact simple Lie groups, previously studied by Hopkins, Moore, Maldacena–Moore–Seiberg, Braun and Douglas, with a focus on groups of rank 2. We give a new method of computation based on the Segal spectral sequence, which seems to us appreciably simpler than the methods used previously, at least in many key cases.

DOI : 10.2140/agt.2020.20.135
Classification : 19L50, 55R20, 55T15, 57T10, 81T30
Keywords: compact Lie group, twisted K–theory, D–brane, WZW model, Segal spectral sequence, Adams–Novikov spectral sequence, Hurewicz map

Rosenberg, Jonathan  1

1 Department of Mathematics, University of Maryland, College Park, MD, United States 
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Rosenberg, Jonathan. A new approach to twisted K–theory of compact Lie groups. Algebraic and Geometric Topology, Tome 20 (2020) no. 1, pp. 135-167. doi: 10.2140/agt.2020.20.135

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