Taubes's proof of the Weinstein conjecture in dimension three

Abstract

This is an introduction to Taubes's proof of the Weinstein conjecture, written for the AMS Current Events Bulletin. It is intended to be accessible to nonspecialists, so much of the article is devoted to background and context.

53 pages, v2 has minor revisions, to appear in AMS Bulletin

References in corpus (9)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• The Weinstein conjecture for stable Hamiltonian structures
• Rounding corners of polygons and the embedded contact homology of T^3
• Embedded contact homology and Seiberg-Witten Floer cohomology I
• Towards a good definition of algebraically overtwisted
• The Chord Problem and a new method of filling by pseudoholomorphic curves
• Reeb vector fields and open book decompositions
• Embedding property of $J$-holomorphic curves in Calabi-Yau manifolds for generic $J$
• An observation concerning uniquely ergodic vector fields on 3-manifolds