Some differential complexes within and beyond parabolic geometry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00120997" target="_blank" >RIV/00216224:14310/19:00120997 - isvavai.cz</a>
Result on the web
<a href="https://projecteuclid.org/euclid.aspm/1574872398" target="_blank" >https://projecteuclid.org/euclid.aspm/1574872398</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2969/aspm/08210013" target="_blank" >10.2969/aspm/08210013</a>

Result language
angličtina
Original language name
Some differential complexes within and beyond parabolic geometry
Original language description
For smooth manifolds equipped with various geometric structures, we construct complexes that replace the de Rham complex in providing an alternative fine resolution of the sheaf of locally constant functions. In case that the geometric structure is that of a parabolic geometry, our complexes coincide with the Bernstein-Gelfand-Gelfand complex associated with the trivial representation. However, at least in the cases we discuss, our constructions are relatively simple and avoid most of the machinery of parabolic geometry. Moreover, our method extends to contact and symplectic geometries (beyond the parabolic realm).
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Differential Geometry and Tanaka Theory - Differential System and Hypersurface Theory
ISBN
9784864970839
ISSN
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e-ISSN
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Number of pages
28
Pages from-to
13-40
Publisher name
Mathematical Society of Japan
Place of publication
Tokyo
Event location
Kyoto
Event date
Jan 24, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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