On some (co)homological invariants of coherent matrix factorizations

Abstract

We provide an equivalence between the dg category of coherent matrix factorizations and a certain dg category of absolute singularities. As an application, we compute the l-adic cohomology of the dg category of coherent matrix factorizations, as well as its Hochschild and periodic cyclic homologies (these last two only in the affine case).

33 pages. First draft. Comments are welcome!