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10 papers
Formal loops II: A local Riemann-Roch theorem for determinantal gerbes
M. Kapranov, E. Vasserot
If V is a bundle of Tate vector spaces over a base B, its determinantal gerbe has a class C_1(V) in the second cohomology group of the sheaf of invertible functions which can be se…
Nonlinear Schrödinger equation on four-dimensional compact manifolds
P. Gérard, V. Pierfelice
We prove two new results about the Cauchy problem for nonlinear Schroedinger equations on four-dimensional compact manifolds. The first one concerns global wellposedness for Hartre…
Concentration of the first eigenfunction for a second order elliptic operator
D. Holcman, I. Kupka
We study the semi-classical limits of the first eigenfunction of a positive second order operator on a compact Riemannian manifold when the diffusion constant goes to zero. We…
Diabatic Limit, Eta Invariants and Cauchy-Riemann Manifolds of Dimension 3
Olivier Biquard, Marc Herzlich, Michel Rumin
We relate a recently introduced non-local geometric invariant of compact strictly pseudoconvex Cauchy-Riemann (CR) manifolds of dimension 3 to various eta-invariants in CR geometry…
On necessary and sufficient conditions for -estimates of Riesz transforms associated to elliptic operators on $\RR^n$ and related estimates
Pascal Auscher
This article focuses on estimates for objects associated to elliptic operators in divergence form: its semigroup, the gradient of the semigroup, functional calculus, square f…
Long-distance contributions in Decays
Samuel Friot, David Greynat
This talk gives a short summary of some work \cite{FGEdeR04} realized in collaboration with E. de Rafael and concerning $K\raπ\ell^+ \ell^-$ decays, in a combined framework of Chir…