255 citations · 926 across the 27 of their papers we have counts for
30 papers
Symplectic double groupoids and the generalized Kähler potential
Daniel Álvarez, Marco Gualtieri, Yucong Jiang
A description of the fundamental degrees of freedom underlying generalized Kähler geometry, which separates its holomorphic moduli from its compatible Riemannian metric in a simila…
Brane quantization of toric Poisson varieties
Francis Bischoff, Marco Gualtieri
In this paper we propose a noncommutative generalization of the relationship between compact Kähler manifolds and complex projective algebraic varieties. Beginning with a prequanti…
Generalized Kähler metrics from Hamiltonian deformations
Marco Gualtieri
We give a new characterization of generalized Kähler structures in terms of their corresponding complex Dirac structures. We then give an alternative proof of Hitchin's partial uno…
Morita equivalence and the generalized Kähler potential
Francis Bischoff, Marco Gualtieri, Maxim Zabzine
We solve the problem of determining the fundamental degrees of freedom underlying a generalized Kähler structure of symplectic type. For a usual Kähler structure, it is well-known…
Log Picard algebroids and meromorphic line bundles
Marco Gualtieri, Kevin Luk
We introduce logarithmic Picard algebroids, a natural class of Lie algebroids adapted to a simple normal crossings divisor on a smooth projective variety. We show that such algebro…
Deformation of Dirac structures via algebras
M. Gualtieri, M. Matviichuk, G. Scott
The deformation theory of a Dirac structure is controlled by a differential graded Lie algebra which depends on the choice of an auxiliary transversal Dirac structure; if the trans…