27 citations · 74 across the 15 of their papers we have counts for
15 papers
Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex
S. A. Merkulov
This paper aims to give a short but self-contained introduction into the theory of (wheeled) props, properads, dioperads and operads, and illustrate some of its key ideas in terms…
Operad of formal homogeneous spaces and Bernoulli numbers
S. A. Merkulov
It is shown that for any morphism, i: g --> h, of Lie algebras the vector space underlying the Lie algebra h is canonically a g-homogeneous formal manifold with the action of g bei…
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…
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…
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…