A Chern–Weil formula for the Chern character of a perfect curved module
Michael K. Brown
University of Wisconsin, Madison, USAMark E. Walker
University of Nebraska, Lincoln, USA
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Abstract
Let be a field of characteristic 0 and a curved -algebra. We obtain a Chern–Weil-type formula for the Chern character of a perfect -module taking values in , the negative cyclic homology of the second kind associated to , when satisfies a certain smoothness condition.
Cite this article
Michael K. Brown, Mark E. Walker, A Chern–Weil formula for the Chern character of a perfect curved module. J. Noncommut. Geom. 14 (2020), no. 2, pp. 709–772
DOI 10.4171/JNCG/378