A Chern–Weil formula for the Chern character of a perfect curved module

  • Michael K. Brown

    University of Wisconsin, Madison, USA
  • Mark E. Walker

    University of Nebraska, Lincoln, USA
A Chern–Weil formula for the Chern character of a perfect curved module cover

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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