On fillability of contact manifolds
type: Dataset
contact point: Organization
  fn: CCSD
keyword: holomorphic-disks
keyword: high-dimensional-contact-topology
keyword: legendrian-foliations
keyword: mathmath-dgmathematics-mathdifferential-geometry-mathdg
keyword: infoeu-reposemanticsother
keyword: habilitation-a-diriger-des-recherches
keyword: fillability
landing page: https://theses.hal.science/tel-00922320
description: The aim of this text is to give an accessible overview to some recent results concerning contact manifolds and their symplectic fillings. In particular, we work out the weakest compatibility conditions between a symplectic manifold and a contact structure on its boundary to still be able to obtain a sensible theory (Chapter II), furthermore we prove two results (Theorem A and B in Section I.4) that show how certain submanifolds inside a contact manifold obstruct the existence of a symplectic filling or influence its topology. We conclude by giving several constructions of contact manifolds that for different reasons do not admit a symplectic filling.
issued: 2026-05-07T16:56:59.630823
language: en
modified: 2026-05-07T16:56:59.630827

On fillability of contact manifolds
type: Distribution
access URL: https://theses.hal.science/tel-00922320
format: HTML
issued: 2026-05-07T16:56:59.632140
modified: 2026-05-07T16:56:59.622099

test_moissonnage_selune
type: Agent