18 citations · 21 across the 3 of their papers we have counts for
3 papers
math.AG2017★ 2 cited
Categorical Logarithmic Hodge Theory, I
Dmitry Vaintrob
We write down a new "logarithmic" quasicoherent category attached to a smooth open algebraic variety with toroidal compactification and…
math.AG2017★ 1 cited
The Gauss-Manin connection on the periodic cyclic homology
Alexander Petrov, Dmitry Vaintrob, Vadim Vologodsky
It is expected that the periodic cyclic homology of a DG algebra over the field of complex numbers (and, more generally, the periodic cyclic homology of a DG category) carries a lo…
math.AT2007★ 18 cited
The string topology BV algebra, Hochschild cohomology and the Goldman bracket on surfaces
Dmitry Vaintrob
In 1999 Chas and Sullivan discovered that the homology H_*(LX) of the space of free loops on a closed oriented smooth manifold X has a rich algebraic structure called string topolo…