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 […]