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Description
  • We introduce a Hilbert A-module structure on the higher oscillatory module, where A denotes the C*-algebra of continuous endomorphisms of the basic oscillatory module. We also define the notion of an exterior covariant derivative in an A-Hilbert bundle and use it for a construction of an A-elliptic complex of differential operators for certain symplectic manifolds equipped with a flat symplectic connection.
  • We introduce a Hilbert A-module structure on the higher oscillatory module, where A denotes the C*-algebra of continuous endomorphisms of the basic oscillatory module. We also define the notion of an exterior covariant derivative in an A-Hilbert bundle and use it for a construction of an A-elliptic complex of differential operators for certain symplectic manifolds equipped with a flat symplectic connection. (en)
Title
  • Cohomology of the de Rham complex twisted by the oscillatory representation
  • Cohomology of the de Rham complex twisted by the oscillatory representation (en)
skos:prefLabel
  • Cohomology of the de Rham complex twisted by the oscillatory representation
  • Cohomology of the de Rham complex twisted by the oscillatory representation (en)
skos:notation
  • RIV/00216208:11320/14:10289138!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I
http://linked.open...iv/cisloPeriodika
  • Number S1
http://linked.open...vai/riv/dodaniDat
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  • 7707
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  • RIV/00216208:11320/14:10289138
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  • Cohomology of complexes; Segal-Shale-Weil representation; Fedosov connection; Hilbert A-modules (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [21B70239929F]
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  • Differential Geometry and its Application
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http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
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  • 33
http://linked.open...iv/tvurceVysledku
  • Krýsl, Svatopluk
http://linked.open...ain/vavai/riv/wos
  • 000332140800017
issn
  • 0926-2245
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.difgeo.2013.10.007
http://localhost/t...ganizacniJednotka
  • 11320
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