6 citations · 13 across the 5 of their papers we have counts for
5 papers
Quantization of line bundles on Lagrangian subvarieties
Vladimir Baranovsky, Victor Ginzburg, Dmitry Kaledin +1
We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules…
The Derived Marsden-Weinstein Quotient is Symplectic
Jeremy Pecharich
Let be a derived scheme with a 0-symplectic form and suppose there is a Hamiltonian -action with a moment map for a reductive group. We prove, under no further ass…
Deformations of vector bundles on coisotropic subvarieties via the Atiyah class
Jeremy Pecharich
Using the Atiyah class we give a criterion for a vector bundle on a coisotropic subvariety, , of an algebraic Poisson variety to admit a first and second order noncommutativ…
Deformation of line bundles on coisotropic subvarieties
Vladimir Baranovsky, Victor Ginzburg, Jeremy Pecharich
We prove a criterion stating when a line bundle on a smooth coisotropic subvariety Y of a smooth variety X with an algebraic Poisson structure, admits a first order deformation qua…
On equivalences of derived and singular categories
Vladimir Baranovsky, Jeremy Pecharich
Let X and Y be two smooth Deligne-Mumford stacks and consider a function f, resp. g, on X, resp. Y. Assume that there exists a complex F of sheaves on the fiber product of X and Y…