129 citations · 200 across the 3 of their papers we have counts for
6 papers
Homotopy Poisson and BV structures on derived moduli spaces of flat connections
Sergei A. Merkulov
We show that quasi-Poisson and quasi-BV structures on (super)manifolds admitting an action of a Lie (super)group can be identified with a special class of homotopy Poisson…
Wheeled props in algebra, geometry and quantization
S. A. Merkulov
These are expanded notes of author's talk at the ECM 2008 attempting to give an elementary introduction into the main ideas of the theory of wheeled props for beginners, and also a…
Deformation theory of representations of prop(erad)s
Sergei Merkulov, Bruno Vallette
We study the deformation theory of morphisms of properads and props thereby extending to a non-linear framework Quillen's deformation theory for commutative rings. The associated c…
Wheeled PROPs, graph complexes and the master equation
M. Markl, S. Merkulov, S. Shadrin
We introduce and study wheeled PROPs, an extension of the theory of PROPs which can treat traces and, in particular, solutions to the master equations which involve divergence oper…
Deformation quantization of the -tuple point
S. A. Merkulov
Contrary to the classical methods of quantum mechanics, the deformation quantization can be carried out on phase spaces which are not even topological manifolds. In particular, the…
The extended moduli space of special Lagrangian submanifolds
S. A. Merkulov
It is well known that the moduli space of all deformations of a compact special Lagrangian submanifold in a Calabi-Yau manifold within the class of special Lagrangian subma…