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math.CT2011★ 60 cited
Coherent analogues of matrix factorizations and relative singularity categories
Alexander I. Efimov, Leonid Positselski
We define the triangulated category of relative singularities of a closed subscheme in a scheme. When the closed subscheme is a Cartier divisor, we consider matrix factorizations o…
math.CT2009
A proof of Kontsevich-Soibelman conjecture
Alexander I. Efimov
It is well known that "Fukaya category" is in fact an -pre-category in sense of Kontsevich and Soibelman \cite{KS}. The reason is that in general the morphism spaces ar…