Mathematische Annalen

, Volume 374, Issue 1–2, pp 931–962 | Cite as

Index theory in spaces of manifolds

  • Johannes EbertEmail author


We formulate and prove a generalization of the Atiyah-Singer family index theorem in the context of the theory of spaces of manifolds à la Madsen, Tillmann, Weiss, Galatius and Randal-Williams. Our results are for Dirac-type operators linear over arbitrary \(C^*\)-algebras.



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Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität MünsterMünsterGermany

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