Distribution of matrix elements and level spacings for classically chaotic systems
Distributions at infinity for Riemann surfaces
Divergence operators and odd Poisson brackets
We define the divergence operators on a graded algebra, and we show that, given an odd Poisson bracket on the algebra, the operator that maps an element to the divergence of the hamiltonian derivation that it defines is a generator of the bracket. This is the “odd laplacian”, , of Batalin-Vilkovisky quantization. We then study the generators of odd Poisson brackets on supermanifolds, where divergences of graded vector fields can be defined either in terms of berezinian volumes or of graded connections. Examples...
Double quotients of Lie groups with integrable geodesic flow.
Dva vzorce pro krychlový obsah čtyrstěnu
Dynamics, topology and holomorphic curves.
Dynamique des flots unipotents sur les espaces homogènes
Effective reduction of Goresky-Kottwitz-MacPherson graphs.
Einstein-like and conformally flat contact metric three-manifolds.
Elementary relative tractor calculus for Legendrean contact structures
For a manifold endowed with a Legendrean (or Lagrangean) contact structure , we give an elementary construction of an invariant partial connection on the quotient bundle . This permits us to develop a naïve version of relative tractor calculus and to construct a second order invariant differential operator, which turns out to be the first relative BGG operator induced by the partial connection.
Elliptic GW invariants of blowups along curves and surfaces.
Ellipticity of the symplectic twistor complex
For a Fedosov manifold (symplectic manifold equipped with a symplectic torsion-free affine connection) admitting a metaplectic structure, we shall investigate two sequences of first order differential operators acting on sections of certain infinite rank vector bundles defined over this manifold. The differential operators are symplectic analogues of the twistor operators known from Riemannian or Lorentzian spin geometry. It is known that the mentioned sequences form complexes if the symplectic...
Emergent abelian gauge fields from noncommutative gravity.
Engel structures with trivial characteristic foliations.
Entropies des flots magnétiques
Entropy of Geodesic Flow and Exponent of Convergence of Some Dirichlet Series.
Equivariant deformation quantization for the cotangent bundle of a flag manifold
Let be a (generalized) flag manifold of a complex semisimple Lie group . We investigate the problem of constructing a graded star product on which corresponds to a -equivariant quantization of symbols into twisted differential operators acting on half-forms on . We construct, when is generated by the momentum functions for , a preferred choice of where has the form . Here are operators on . In the known examples, () is not a differential operator, and so the star product ...
Equivariant normal form for nondegenerate singular orbits of integrable hamiltonian systems
Ergodic geodesic flows on product manifolds with low dimensional factors.
Ergodicity of harmonic invariant measures for the geodesic flow on hyperbolic spaces.