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math.KT2014
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…
math.KT2013
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…
math.KT2012
Kontsevich's graph complex, GRT, and the deformation complex of the sheaf of polyvector fields
Vasily Dolgushev, Christopher L. Rogers, Thomas Willwacher
We generalize Kontsevich's construction of L-infinity derivations of polyvector fields from the affine space to an arbitrary smooth algebraic variety. More precisely, we construct…