83 citations · 155 across the 14 of their papers we have counts for
10 papers · 1 filter
Koszul duality for Operads
Victor Ginzburg, Mikhail Kapranov
This is a copy of the article by the same authors published in Duke Math. J. (1994).
Calabi-Yau algebras
Victor Ginzburg
We introduce some new algebraic structures arising naturally in the geometry of Calabi-Yau manifolds and mirror symmetry. We give a universal construction of Calabi-Yau algebras in…
A remark on a theorem of M. Haiman
Victor Ginzburg
We deduce a special case of a theorem of M. Haiman concerning alternating polynomials in 2n variables from our results about almost commuting variety, obtained earlier in a joint w…
Lectures on Noncommutative Geometry
Victor Ginzburg
These Lectures are based on a course on noncommutative geometry given by the author in 2003 at the University of Chicago. The lectures contain some standard material, such as Poiss…
Noncommutative Geometry and Quiver algebras
William Crawley-Boevey, Pavel Etingof, Victor Ginzburg
We develop a new framework for noncommutative differential geometry based on double derivations. This leads to the notion of moment map and of Hamiltonian reduction in noncommutati…
Hamiltonian reduction and Maurer-Cartan equations
Wee Liang Gan, Victor Ginzburg
We show that solving the Maurer-Cartan equations is, essentially, the same thing as performing the Hamiltonian reduction construction. In particular, any differential graded Lie al…