97 citations
- École PolytechniqueFR49 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR9 papers
- Université Paris CitéFR3 papers
- Université Paris NanterreFR3 papers
- Analyse, Géométrie et ModélisationFR2 papers
- CY Cergy Paris UniversitéFR2 papers
- Département de mathématiques et applicationsFR2 papers
- Institut de recherche mathématique de RennesFR2 papers
- Institut Montpelliérain Alexander GrothendieckFR2 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
- Scuola Normale SuperioreIT2 papers
4 papers · 2 filters
Bergman kernels and symplectic reduction
Xiaonan Ma, Weiping Zhang
We generalize several recent results concerning the asymptotic expansions of Bergman kernels to the framework of geometric quantization and establish an asymptotic symplectic ident…
Superconnection and family Bergman kernels
Xiaonan Ma, Weiping Zhang
We establish an asymptotic expansion for families of Bergman kernels. The key idea is to use the superconnection as in the local family index theorem.
η-invariant and flat vector bundles II
Xiaonan Ma, Weiping Zhang
We first apply the method and results in the previous paper to give a new proof of a result (hold in ) of Gilkey on the variation of h-invariants associated to no…
A remark on 'Some numerical results in complex differential geometry'
Kefeng Liu, Xiaonan Ma
In this note we verify certain statement about the operator constructed by Donaldson in [3] by using the full asymptotic expansion of Bergman kernel obtained in [2] and [4].