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K-theory and Noncommutative Geometry.pdf

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Duality for topological abelian group stacks and T -duality 347[DP] Ron Donagi and Tony Pantev, Torus fibrations, gerbes, and duality, Mem. Amer. Math.Soc. 193, no. 901, (2008).[Fol95] Gerald B. Folland, A course in abstract harmonic analysis, Stud. Adv. Math. CRCPress, Boca Raton, FL, 1995.[HM98] Karl H. Hofmann and Sidney A. Morris, The structure of compact groups, de GruyterStud. Math. 25, Walter de Gruyter, Berlin 1998.[Hov99] Mark Hovey, Model categories, Math. Surveys Monogr. 63, Amer. Math. Soc., Providence,RI, 1999.[HR63] Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis, Vol. I: Structureof topological groups, Integration theory, group representations, Grundlehren Math.Wiss. 115, Springer-Verlag, Berlin 1963.[KS94] Masaki Kashiwara and Pierre Schapira, Sheaves on manifolds, Grundlehren Math.Wiss. 292, Springer-Verlag, Berlin 1994.[MR05] Varghese Mathai and Jonathan Rosenberg, T -duality for torus bundles with H -fluxesvia noncommutative topology, Comm. Math. Phys. 253 (2005), 705–721.[MR06] Varghese Mathai and Jonathan Rosenberg, T -duality for torus bundles with H -fluxesvia noncommutative topology. II. The high-dimensional case and the T -duality group,Adv. Theor. Math. Phys. 10 (2006), 123–158.[Sch07] Ansgar Schneider, PhD thesis, Georg-August-Universität Göttingen, 2007.[Ser02] Jean-Pierre Serre, Galois cohomology, Springer Monogr. Math., Springer-Verlag,Berlin 2002.[Ste67] N. E. Steenrod, A convenient category of topological spaces, Michigan Math. J. 14(1967), 133–152.[Tam94] Günter Tamme, Introduction to étale cohomology, Universitext, Springer-Verlag,Berlin 1994.[Vis05] Angelo Vistoli, Grothendieck topologies, fibered categories and descent theory, inFundamental algebraic geometry, Math. Surveys Monogr. 123, Amer. Math. Soc.,Providence, RI, 2005, 1–104.[Yon60] Nobuo Yoneda, On Ext and exact sequences, J. Fac. Sci. Univ. Tokyo Sect. I 8 (1960),507–576.

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