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Wavefront sets and polarizations on supermanifolds

Dappiaggi, Claudio, Gimperlein, Heiko, Murro, Simone and Schenkel, Alexander (2017) Wavefront sets and polarizations on supermanifolds. Journal of Mathematical Physics 58 (2), 023504.

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Other URL: http://doi.org/10.1063/1.4975213


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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Item type:Article
Date:2017
Institutions:Mathematics
Identification Number:
ValueType
10.1063/1.4975213DOI
Keywords:QUANTUM-FIELD THEORY; OPERATORS; SYSTEMS; MODELS;
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:38730
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