Twisted K-theory – old and new
Max Karoubi
Université Paris 7, Denis Diderot, Paris, France
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Abstract
Twisted K-theory has its origins in the author’s PhD thesis [28] and in a paper with P. Donovan [19]. The objective of this paper is to revisit the subject in the light of new developments inspired by mathematical physics. See for instance E. Witten [43], J. Rosenberg [38], C. Laurent-Gentoux, J.-L. Tu, P. Xu [35] and M. F. Atiyah, G. Segal [8], among many authors. We also prove some new results in the subject: a Thom isomorphism, explicit computations in the equivariant case and new cohomology operations.