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Some differential complexes within and beyond parabolic geometry

dc.contributor.author Bryant, Robert
dc.contributor.author Eastwood, MG
dc.contributor.author Gover, AR
dc.contributor.author Neusser, K
dc.date.accessioned 2018-11-01T13:34:58Z
dc.date.available 2018-11-01T13:34:58Z
dc.date.issued 2012-03-19
dc.identifier.uri https://hdl.handle.net/10161/17610
dc.description.abstract 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 certain geometries beyond the parabolic realm.
dc.subject math.DG
dc.subject math.DG
dc.subject 53A40, 53D10, 58A12, 58A17, 58J10, 58J70
dc.title Some differential complexes within and beyond parabolic geometry
dc.type Journal article
dc.date.updated 2018-11-01T13:34:57Z
pubs.organisational-group Trinity College of Arts & Sciences
pubs.organisational-group Duke
pubs.organisational-group Mathematics
duke.contributor.orcid Bryant, Robert|0000-0002-4890-2471


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