arXiv subjects

J. -F. Barraud

Publications and source records attributed to J. -F. Barraud.

2 recordsLinked to original sources

arXiv2005

Homotopical dynamics in symplectic topology

This is mainly a survey of recent work on algebraic ways to ``measure'' moduli spaces of connecting trajectories in Morse and Floer theories as well as related applications to symplectic topology. The paper also contains some new results. In particular, we show that the methods of a previous work (http://fr.arXiv.org/find/math/1/barraud/0/1/0/2004/3/0) continue to work in general symplectic manifolds (without any connectivity conditions) but under the bubbling threshold.

math.SG↗

arXiv2003

Regular type of real hyper-surfaces in (almost) complex manifolds

The regular type of a real hyper-surface M in an (almost) complex manifold at some point p is the maximal contact order at p of M with germs of non singular (pseudo) holomorphic disks. The main purpose of this paper is to give two intrinsic characterizations the type: one in terms of Lie brackets of a complex tangent vector field on M, the other in terms of some kind of derivatives of the Levi form.

math.DG↗