Laboratoire de Mathématiques Jean Leray

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20022026

most citedThe d-bar approach to approximate inverse scattering at fixed energy in three dimensions

76 citations

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Showing 2003Show all

5 papers · 1 filter

math.AG2003

Hodge-DeRham theory with degenerating coefficients

Fouad ElZein

Let $L$ be a local system on the complement $X^{⋆}$ of a normal crossing divisor (NCD) $Y$ in a smooth analytic variety $X$ and let $j : X^{⋆} = X - Y \to X$ denot…

math.DS2003★ 5 cited

KAM Theorem for Gevrey Hamiltonians

Georgi Popov

We consider Gevrey perturbations $H$ of a completely integrable Gevrey Hamiltonian $H_{0}$ . Given a Cantor set $Ω_{κ}$ defined by a Diophantine condition, we find a family of KAM invar…

math.GT2003★ 3 cited

Notes on the isotopy finiteness

Vincent Colin, Emmanuel Giroux, Ko Honda

This is the less official, English version of the proof of the fact that every closed atoroidal 3-manifold carries finitely many isotopy classes of tight contact structures.

math.DG2003

On the differential form spectrum of hyperbolic manifolds

Gilles Carron, Emmanuel Pedon

We give a lower bound for the bottom of the $L^{2}$ differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the func…

math.AG2003

Theta functions on the moduli space of parabolic bundles

Francesca Gavioli

Let X be a smooth projective connected curve of genus $g \geq 2$ and let I be a finite set of points of X. Fix a parabolic structure on I for rank r vector bundles on X. Let $M^{par…