arXiv Analytics

Sign in

arXiv:1206.4460 [math.DG]AbstractReferencesReviewsResources

The Dixmier-Douady class in the Simplicial de Rham Complex

Naoya Suzuki

Published 2012-06-20, updated 2018-06-07Version 8

On the basis of A. L. Carey, D. Crowley, M. K. Murray's work, we exhibit a cocycle in the simplicial de Rham complex which represents the Dixmier-Douady class.

Comments: 9 pages; Differential Geometry. The author apologizes that there are some inaccurate description in this paper. Corrected description is given in "On some cocycles which represent the Dixmier-Douady class in simplicial de Rham complexes"
Categories: math.DG
Related articles: Most relevant | Search more
arXiv:1306.5949 [math.DG] (Published 2013-06-25, updated 2014-12-23)
The Chern Character in the Simplicial de Rham Complex
arXiv:1508.03195 [math.DG] (Published 2015-08-13)
The Euler class in the Simplicial de Rham Complex
arXiv:1310.4559 [math.DG] (Published 2013-10-17, updated 2015-03-18)
On some cocycles which represent the Dixmier-Douady class in simplicial de Rham complexes