9 citations · 31 across the 14 of their papers we have counts for
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The cohomology of the full directed graph complex
Vasily A. Dolgushev, Christopher L. Rogers
In his seminal paper "Formality conjecture", M. Kontsevich introduced a graph complex closely connected with the problem of constructing a formality quasi-isomorphism fo…
When can a formality quasi-isomorphism over rationals be constructed recursively?
V. A. Dolgushev, G. E. Schneider
Let be a differential graded (possibly colored) operad defined over rationals. Let us assume that there exists a zig-zag of quasi-isomorphisms connecting to its c…
A Direct Computation of the Cohomology of the Braces Operad
Vasily A. Dolgushev, Thomas H. Willwacher
We give a self-contained and purely combinatorial proof of the well known fact that the cohomology of the braces operad is the operad governing Gerstenhaber algebras…
Tamarkin's construction is equivariant with respect to the action of the Grothendieck-Teichmueller group
Vasily Dolgushev, Brian Paljug
Recall that Tamarkin's construction arXiv:math/9803025, arXiv:math/0003052 gives us a map from the set of Drinfeld associators to the set of homotopy classes of L-infinity quasi-is…
A Formality quasi-isomorphism for Hochschild cochains over rationals can be constructed recursively
Vasily Dolgushev
It is believed arXiv:0808.2762, arXiv:math/9904055 that, among the coefficients entering Kontsevich's formality quasi-isomorphism arXiv:q-alg/9709040, there are irrational (possibl…
The deformation complex is a homotopy invariant of a homotopy algebra
Vasily Dolgushev, Thomas Willwacher
To a homotopy algebra one may associate its deformation complex, which is naturally a differential graded Lie algebra. We show that infinity quasi-isomorphic homotopy algebras have…
Notes on Algebraic Operads, Graph Complexes, and Willwacher's Construction
Vasily A. Dolgushev, Christopher L. Rogers
We give a detailed proof of T. Willwacher's theorem arXiv:1009.1654 which links the cohomology of the full graph complex fGC to the cohomology of the deformation complex of the ope…
Stable Formality Quasi-isomorphisms for Hochschild Cochains
Vasily Dolgushev
We consider L-infinity quasi-isomorphisms for Hochschild cochains whose structure maps admit "graphical expansion". We introduce the notion of stable formality quasi-isomorphism wh…
Formality theorem for Hochschild cochains via transfer
Vasily Dolgushev
We construct a 2-colored operad G^+ which, on the one hand, extends the operad G governing homotopy Gerstenhaber algebras and, on the other hand, extends the 2-colored operad gover…