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Nijenhuis infinity and contractible dg manifolds
S. A. Merkulov
We find a minimal differential graded (dg) operad whose generic representations in are in one-to-one correspondence with formal germs of those endomorphisms of the tangent bu…
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…
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…
-algebra of an unobstructed deformation functor
S. A. Merkulov
This is a comment on the Kuranishi method of constructing analytic deformation spaces. It is based on a simple observation that the Kuranishi map can always be inverted in the cate…
Strongly homotopy algebras of a Kähler manifold
S. A. Merkulov
It is shown that any compact Kähler manifold gives canonically rise to two strongly homotopy algebras, the first one being associated with the Hodge theory of the de Rham compl…