11 citations · 34 across the 23 of their papers we have counts for
7 papers · 1 filter
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…
Optimal convergence speed of Bergman metrics on symplectic manifolds
Wen Lu, Xiaonan Ma, George Marinescu
It is known that a compact symplectic manifold endowed with a prequantum line bundle can be embedded in the projective space generated by the eigensections of low energy of the Boc…
The second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator
Wen Lu
We calculate the second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator associated to high powers of a Hermitian line bundle with non-…
SYZ Mirror Symmetry of Hitchin's Moduli Spaces Near Singular Fibers I
Wenxuan Lu
We study hyperkahler metrics and hyperholomorphic connections of Hitchin's moduli spaces after Gaiotto, Moore and Neitzke. Their construction via the twistor technique produces int…
A Thom-Smale-Witten theorem on manifolds with boundary
Wen Lu
Given a smooth compact manifold with boundary, we show that the subcomplex of the deformed de Rham complex consisting of eigenspaces of small eigenvalues of the Witten Laplacian is…