Deformations of Lie brackets: cohomological aspects
We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.
Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization
Deformations of vector fields and canonical coordinates on coadjoint orbits.
Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections.
Dénombrement de géodésiques fermées, sous contraintes homologiques
Dense orbits of horospherical flows
Dérivations et déformations de certaines algèbres de Lie infinies classiques
Détermination et construction nouvelle du cercle qui coupe trois cercles sous trois angles donnés et de la sphère qui coupe quatre sphères sous des angles donnés
Diffeomorphisms, symplectic forms and Kodaira fibrations.
Differentiability and analycity of topological entropy for Anosov and geodesic flows.
Differential and functional identities for the elliptic trilogarithm.
Differential Batalin-Vilkovisky algebras arising from twilled Lie-Rinehart algebras
Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR algebra", which is a true twilled LR-algebra iff the almost complex structure is integrable. We characterize twilled LR structures in terms of certain associated differential (bi)graded Lie and G(erstenhaber)-algebras; in particular the G-algebra arising from an almost complex structure is a (strict) d(ifferential) G-algebra...
Differential complex associated to closed differential forms of nonconstant rank.
Differential equations on contact riemannian manifolds
Differential geometry of canonical quantization
Dimers and cluster integrable systems
We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type, which we call acluster integrable system. The phase space of the classical system contains, as an open dense subset, the moduli space of line bundles with connections on the graph . The sum of Hamiltonians is essentially the partition function of the dimer model. We say that two such graphs and areequivalentif the Newton polygons of the corresponding partition functions...
Dirac structures and dynamical -matrices
The purpose of this paper is to establish a connection between various objects such as dynamical -matrices, Lie bialgebroids, and Lagrangian subalgebras. Our method relies on the theory of Dirac structures and Courant algebroids. In particular, we give a new method of classifying dynamical -matrices of simple Lie algebras , and prove that dynamical -matrices are in one-one correspondence with certain Lagrangian subalgebras of .
Dirac submanifolds and Poisson involutions
Discrete minimal surface algebras.
Discretization and Moyal brackets.