English

The Dixmier-Douady class in the Simplicial de Rham Complex

Differential Geometry 2018-06-08 v8

Abstract

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.

Cite

@article{arxiv.1206.4460,
  title  = {The Dixmier-Douady class in the Simplicial de Rham Complex},
  author = {Naoya Suzuki},
  journal= {arXiv preprint arXiv:1206.4460},
  year   = {2018}
}

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"

R2 v1 2026-06-21T21:22:25.260Z