Index theory in spaces of manifolds
classification
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math.KT
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indexmanifoldsspacestheoryalgebrasarbitraryatiyah-singercontext
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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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