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Wavefront sets and polarizations on supermanifolds

URN to cite this document:
urn:nbn:de:bvb:355-epub-331513
Dappiaggi, Claudio ; Gimperlein, Heiko ; Murro, Simone ; Schenkel, Alexander
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Date of publication of this fulltext: 12 Jan 2016 13:56



Abstract

In this paper we develop the foundations 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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