Graded Brauer groups and -theory with local coefficients
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Publications Mathématiques de l'IHÉS
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Peter Donavan, Max Karoubi (1970)
Publications Mathématiques de l'IHÉS
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Graeme Segal (1968)
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(1972)
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This paper contains a description of various geometric constructions associated with fibre bundles, given in terms of important algebraic object, the “twisting cochain". Our examples include the Chern-Weil classes, the holonomy representation and the so-called cyclic Chern character of Bismut and others (see [2, 11, 27]), also called the Bismut’s class. The later example is the principal one for us, since we are motivated by the attempt to find an algebraic approach to the Witten’s index...