Coisotropic rigidity and C^0-symplectic geometry

We prove that symplectic homeomorphisms, in the sense of the celebrated Gromov-Eliashberg Theorem, preserve coisotropic submanifolds and their characteristic foliations. This result generalizes the Gromov-Eliashberg Theorem and demonstrates that previous rigidity results (on Lagrangians by Laudenbach-Sikorav, and on characteristics of hypersurfaces by Opshtein) are manifestations of a single rigidity phenomenon. To prove the above, we establish a C^0-dynamical property of coisotropic submanifolds which generalizes a foundational theorem in C^0-Hamiltonian dynamics: Uniqueness of generators for continuous analogs of Hamiltonian flows.Comment: 27 pages. v2. Significant reorganization of the paper, several typos and inaccuracies corrected after the refeering process. A theorem (Theorem 5, completing the study of C^0 dynamical properties of coisotropics) added. To appear in Duke Mathematical Journa

New energy-capacity-type inequalities and uniqueness of continuous Hamiltonians

We prove a new variant of the energy-capacity inequality for closed rational symplectic manifolds (as well as certain open manifolds such as cotangent bundle of closed manifolds...) and we derive some consequences to C^0-symplectic topology. Namely, we prove that a continuous function which is a uniform limit of smooth Hamiltonians whose flows converge to the identity for the spectral (or Hofer's) distance must vanish. This gives a new proof of uniqueness of continuous generating Hamiltonian for hameomorphisms. This also allows us to improve a result by Cardin and Viterbo on the C^0-rigidity of the Poisson bracket.Comment: 18 pages. v2. Several minor changes. Reference list updated. To appear in Commentarii Mathematici Helvetic

Invariants spectraux en homologie de Floer lagrangienne

Thèse numérisée par la Direction des bibliothèques de l'Université de Montréal

Pseudo-distances on symplectomorphism groups and applications to flux theory

Starting from a given norm on the vector space of exact 1-forms of a compact symplectic manifold, we produce pseudo-distances on its symplectomorphism group by generalizing an idea due to Banyaga. We prove that in some cases (which include Banyaga's construction), their restriction to the Hamiltonian diffeomorphism group is equivalent to the distance induced by the initial norm on exact 1-forms. We also define genuine "distances to the Hamiltonian diffeomorphism group" which we use to derive several consequences, mainly in terms of flux groups.Comment: 21 pages, no figure; v2. various typos corrected, some references added. Published in Mathematische Zeitschrif

Interview with Jean-Paul Leclercq by Rémi Labrusse

Rémi Labrusse. Could you describe your career path as a researcher? How did it lead you to textiles? Jean-Paul Leclercq. From 1994 to 2006 I was curator of the collections of pre-1914 costumes and textiles at Les Arts décoratifs in Paris, and I took on the task of expanding them. Putting my advocacy for collaboration between museums into action, I drew up the dossier that enabled the Musée des Tissus in Lyon to acquire the 190 Grands livres de fabrique of the Lyon-based company Bianchini-Féri..

Fracture du rachis thoraco-lombaire (étude rétrospective à propos de 46 cas pris en charge au CHU [centre hospitalier de Poitiers])

POITIERS-BU Médecine pharmacie (861942103) / SudocSudocFranceF