Kavli Affiliate: Alexey Bondal
| First 5 Authors: Alexey Bondal, Alexei Rosly, , ,
| Summary:
We construct a twist-closed enhancement of the category ${mathcal D}^b_{rm
coh}(X)$, the bounded derived category of complexes of ${mathcal O}_X$-modules
with coherent cohomology, by means of the DG-category of
$barpartial$-superconnections. Then we apply the techniques of
$barpartial$-superconnections to define Chern classes and Bott-Chern classes
of objects in the category, in particular, of coherent sheaves.
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