11 citations · 34 across the 23 of their papers we have counts for
4 papers · 2 filters
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…
Equivariant Morse inequalities and applications
Wen Lu
In this paper, we prove equivariant Morse inequalities via Bismut-Lebeau's analytic localization techniques. As an application, we obtain Morse inequalities on compact manifold wit…