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Index theory in spaces of manifolds
Published 4 Aug 2016 in math.AT and math.KT | (1608.01701v3)
Abstract: We formulate and prove a generalization of the Atiyah-Singer family index theorem in the context of the theory of spaces of manifolds `a la Madsen, Tillmann, Weiss, Galatius and Randal-Williams. Our results are for Dirac-type operators linear over arbitrary $C*$-algebras.
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