A Simple Proof of Borel's Density Theorem.
A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of connections.
A stable classification of Lefschetz fibrations.
A structure by conformal transformations of Finsler functions on the projectivized tangent bundle of Finsler spaces with the Chern connection.
A Study on -recurrence -curvature tensor in -contact metric manifolds
In this paper we study -recurrence -curvature tensor in-contact metric manifolds.
A Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.
A symplectic approach to van den Ban's convexity theorem.
A symplectic reduction for pseudo-Riemannian manifolds with compatible almost product structures.
A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
In this paper we show that given any 3-manifold and any non-fibered class in there exists a representation such that the corresponding twisted Alexander polynomial is zero. We obtain this result by extending earlier work of ours and by combining this with recent results of Agol and Wise on separability of 3-manifold groups. This result allows us to completely classify symplectic 4-manifolds with a free circle action, and to determine their symplectic cones.
Abelian analytic torsion and symplectic volume
This article studies the abelian analytic torsion on a closed, oriented, Sasakian three-manifold and identifies this quantity as a specific multiple of the natural unit symplectic volume form on the moduli space of flat abelian connections. This identification computes the analytic torsion explicitly in terms of Seifert data.
Abelian complex structures on 6-dimensional compact nilmanifolds
We classify the -dimensional compact nilmanifolds that admit abelian complex structures, and for any such complex structure we describe the space of symplectic forms which are compatible with .
About almost symplectic structures on the total space of the tangent bundle.
Absolute continuity, Lyapunov exponents and rigidity I: geodesic flows
We consider volume-preserving perturbations of the time-one map of the geodesic flow of a compact surface with negative curvature. We show that if the Liouville measure has Lebesgue disintegration along the center foliation then the perturbation is itself the time-one map of a smooth volume-preserving flow, and that otherwise the disintegration is necessarily atomic.
Abstract mechanical connection and Abelian reconstruction for almost Kähler manifolds.
Achèvement de la démonstration géométrique élémentaire donnée par Steiner pour ce théorème : «le cercle possède la plus grande parmi toutes les figures planes isopérimètres»
Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.
Affine Parts of Abelian Surfaces as Complete Intersections of Four Quadrics.
Affinoid structures and connections
Algebraic Legendrian varieties [Book]
Algèbres différentielles en théorie des champs
Les algèbres différentielles sont apparues comme des outils commodes ou même inévitables pour exprimer les symétries continues, exactes ou brisées, suivant la situation physique envisagée, dans le cadre de l’algorithme de Feynman de la théorie quantique des champs perturbative. Les algèbres de courants, les théories de Yang-Mills, la première quantification de la corde, sont proposées comme exemples classiques.