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math.OA2016★ 9 cited
Elliptic Operators Associated with Groups of Quantized Canonical Transformations
Anton Savin, Elmar Schrohe, Boris Sternin
Given a Lie group of quantized canonical transformations acting on the space over a closed manifold , we define an algebra of so-called -operators on . W…
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…