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arXiv · 1608.01701

Index theory in spaces of manifolds

Johannes Ebert
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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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Johannes Ebert. 2016-08-04. Index theory in spaces of manifolds. https://arxiv.org/abs/1608.01701

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