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Wavefront sets and polarizations on supermanifolds

Dappiaggi, Claudio ; Gimperlein, Heiko ; Murro, Simone ; Schenkel, Alexander



Abstract

In this paper, we develop the foundation for microlocal analysis on supermanifolds. Making use of pseudodifferential operators on supermanifolds as introduced by Rempel and Schmitt, we define a suitable notion of super-wavefront set for superdistributions which generalizes Dencker's polarization sets for vector-valued distributions to supergeometry. In particular, our super-wavefront sets detect ...

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