On de Rham Cohomology of Linear Categories
K-Theory and Homology
2011-12-20 v1
Abstract
We define the Chern map from the Grothendieck group of a linear category C to the de Rham cohomology of C with coefficients in a DG-category. In order to achieve our goal, we define the notion of connection on a C-module, and we show that the trace of the curvature of a connection is a de Rham cocycle, whose cohomology class does not depend on the choice of the connection.
Keywords
Cite
@article{arxiv.1112.4182,
title = {On de Rham Cohomology of Linear Categories},
author = {Andrei Chiteş and Mădălin Ciungu and Dragoş Ştefan},
journal= {arXiv preprint arXiv:1112.4182},
year = {2011}
}
Comments
12 pages