2 citations · 4 across the 7 of their papers we have counts for
7 papers
The scalar curvature in formal deformation quantization. I
Laurent La Fuente-Gravy
In the framework of formal deformation quantization, we apply our formal moment map construction on the space of almost complex structures to recover the Donaldson-Fujiki moment ma…
A formal moment map on
Laurent La Fuente-Gravy
In the framework of deformation quantization, we obtain a deformation of Donaldson moment map on , the connected component of the group of diffeomorphisms of a…
The formal moment map geometry of the space of symplectic connections
Laurent La Fuente-Gravy
We deform the moment map picture on the space of symplectic connections on a symplectic manifold. To do that, we study a vector bundle of Fedosov star product algebras on the space…
Quantum moment map and obstructions to the existence of closed Fedosov star products
Akito Futaki, Laurent La Fuente-Gravy
It is shown that the normalized trace of Fedosov star product for quantum moment map depends only on the path component in the cohomology class of the symplectic form and the cohom…
Deformation quantization and Kähler geometry with moment map
Akito Futaki, Laurent La Fuente-Gravy
In the first part of this paper we outline the constructions and properties of Fedosov star product and Berezin-Toeplitz star product. In the second part we outline the basic ideas…
Futaki invariant for Fedosov's star products
Laurent La Fuente-Gravy
We study obstructions to the existence of closed Fedosov's star products on a given Kähler manifold. In our previous paper, we proved that the Levi-Civita connection of a Kähler ma…
Infinite dimensional moment map geometry and closed Fedosov's star products
Laurent La Fuente-Gravy
We study the Cahen-Gutt moment map on the space of symplectic connections of a symplectic manifold. On a Kähler manifold, we define a Calabi-type functional on the sp…