3 citations · 6 across the 3 of their papers we have counts for
4 papers
The moduli space of flat G-bundles on a compact hyper-Kahler manifold
Mohammed Abouzaid, Mitya Boyarchenko
We prove that if G is a compact connected Lie group and X is a compact connected hyper-Kahler manifold, then the L^2 metric on (the smooth locus of) the moduli space of flat G-bund…
Quantization of minimal resolutions of Kleinian singularities
Mitya Boyarchenko
In this paper we prove an analogue of a recent result of Gordon and Stafford that relates the representation theory of certain noncommutative deformations of the coordinate ring of…
Local structure of generalized complex manifolds
Mohammed Abouzaid, Mitya Boyarchenko
We study generalized complex manifolds from the point of view of symplectic and Poisson geometry. We start by showing that every generalized complex manifold admits a canonical Poi…
Beyond the classical Weyl and Colin de Verdiere's formulas for Schrodinger operators with polynomial magnetic and electric fields
Mitya Boyarchenko, Sergei Levendorskii
We present a pair of conjectural formulas that compute the leading term of the spectral asymptotics of a Schrödinger operator on $L^2(\bR^n)$ with quasi-homogeneous polynomial magn…