Math @ Duke

Publications [#216495] of Robert Bryant
search www.ams.org.Papers Accepted
 with Michael G. Eastwood, A. Rod. Gover, Katharina Neusser, Some differential complexes within and beyond parabolic geometry
(December, 2011) [arXiv:1112.2142v2]
(last updated on 2013/03/25)
Author's Comments: To appear in the Advanced Studies in Pure Mathematics volume "Proceedings of the Conference on Differential Geometry and Tanaka Theory in honour of Professors Reiko Miyaoka and Keizo Yamaguchi"
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 GelfandGelfand 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.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

