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math.DG2004★ 3 cited
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…
math.SP2004
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…