137 citations · 594 across the 24 of their papers we have counts for
16 papers · 1 filter
Berezin-Toeplitz Quantization of non-compact manifolds
Louis Ioos, Wen Lu, Xiaonan Ma +1
We develop Berezin-Toeplitz quantization in a non-compact complex geometric setting. Let be a Hermitian manifold, a positive holomorphic line bundle, and $(E,h^E)…
Bergman kernels and Poincaré series
Louis Ioos, Wen Lu, Xiaonan Ma +1
We show that the Bergman kernel of a finite-volume quotient of a Hermitian manifold with bounded geometry by a discrete group of its isometries is the same as t…
Tian's theorem for Moishezon spaces
Dan Coman, Xiaonan Ma, George Marinescu
We prove that the Fubini-Study currents associated to a sequence of singular Hermitian holomorphic line bundles on a compact normal Moishezon space distribute asymptotically as the…
Generalized Bergman kernels on symplectic manifolds of bounded geometry
Yuri A. Kordyukov, Xiaonan Ma, George Marinescu
We study the asymptotic behavior of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle on a symplectic manifold of…
Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
Louis Ioos, Wen Lu, Xiaonan Ma +1
We study the Berezin-Toeplitz quantization using as quantum space the space of eigenstates of the renormalized Bochner Laplacian corresponding to eigenvalues localized near the ori…
Donaldson's -operators for symplectic manifolds
Wen Lu, Xiaonan Ma, George Marinescu
We prove an estimate for Donaldson's -operator on a prequantized compact symplectic manifold. This estimate is an ingredient in the recent result of Keller and Lejmi about a sym…