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math.AG2000
A note on extended complex manifolds
S. A. Merkulov
We introduce a category of extended complex manifolds, and prove that the functor describing deformations of a classical compact complex manifold within this category is versal…
math-ph2000
The Moyal product is the matrix product
S. A. Merkulov
This is a short comment on the Moyal formula for deformation quantization. It is shown that the Moyal algebra of functions on the plane is canonically isomorphic to an algebra of m…
math.AG2000
Frobenius_infinity invariants of homotopy Gerstenhaber algebras I
S. A. Merkulov
We construct a functor from the derived category of homotopy Gerstenhaber algebras with finite-dimensional cohomology to the purely geometric category of so-called -man…