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@inproceedings{1730718,
author = {Bryant, Robert L. and Eastwood, Michael G. and Gover, A. Rod. and Neusser, Katharina},
address = {Tokyo},
booktitle = {Differential Geometry and Tanaka Theory - Differential System and Hypersurface Theory},
doi = {http://dx.doi.org/10.2969/aspm/08210013},
editor = {Toshihiro Shoda; Kazuhiro Shibuya},
keywords = {Differential complexes; Rumin complex; Parabolic geometry; Bernstein-Gelfand-Gelfand complex},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Tokyo},
isbn = {978-4-86497-083-9},
pages = {13-40},
publisher = {Mathematical Society of Japan},
title = {Some differential complexes within and beyond parabolic geometry},
url = {https://projecteuclid.org/euclid.aspm/1574872398},
year = {2019}
}
TY - JOUR
ID - 1730718
AU - Bryant, Robert L. - Eastwood, Michael G. - Gover, A. Rod. - Neusser, Katharina
PY - 2019
TI - Some differential complexes within and beyond parabolic geometry
PB - Mathematical Society of Japan
CY - Tokyo
SN - 9784864970839
KW - Differential complexes
KW - Rumin complex
KW - Parabolic geometry
KW - Bernstein-Gelfand-Gelfand complex
UR - https://projecteuclid.org/euclid.aspm/1574872398
L2 - https://projecteuclid.org/euclid.aspm/1574872398
N2 - 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).
ER -
BRYANT, Robert L., Michael G. EASTWOOD, A. Rod. GOVER a Katharina NEUSSER. Some differential complexes within and beyond parabolic geometry. In Toshihiro Shoda; Kazuhiro Shibuya. \textit{Differential Geometry and Tanaka Theory - Differential System and Hypersurface Theory}. Tokyo: Mathematical Society of Japan, 2019, s.~13-40. ISBN~978-4-86497-083-9. Dostupné z: https://dx.doi.org/10.2969/aspm/08210013.
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