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math.OA2016
Getzler rescaling via adiabatic deformation and a renormalized local index formula
Karsten Bohlen, Elmar Schrohe
We prove a local index theorem of Atiyah-Singer type for Dirac operators on manifolds with a Lie structure at infinity (Lie manifolds for short). With the help of a renormalized su…
math.OA2016
Groupoids and singular manifolds
Karsten Bohlen
We describe how Lie groupoids are used in singular analysis, index theory and non-commutative geometry and give a brief overview of the theory. We also expose groupoid proofs of th…