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math.KT2007★ 38 cited
Hirzebruch-Riemann-Roch theorem for DG algebras
D. Shklyarov
For an arbitrary proper DG algebra A (i.e. DG algebra with finite dimensional total cohomology) we introduce a pairing on the Hochschild homology of A and present an explicit formu…
math.RA2007★ 28 cited
On Serre duality for compact homologically smooth DG algebras
D. Shklyarov
The bounded derived category of coherent sheaves on a smooth projective variety is known to be equivalent to the triangulated category of perfect modules over a DG algebra. DG alge…