Taubes's proof of the Weinstein conjecture in dimension three

TL;DR

This paper introduces Taubes's proof of the Weinstein conjecture in three dimensions, providing accessible background and context for a broad audience.

Contribution

It explains Taubes's groundbreaking proof of the Weinstein conjecture in dimension three, making complex ideas accessible to non-specialists.

Findings

Taubes proved the Weinstein conjecture in dimension three.

The proof connects symplectic and contact topology.

The article clarifies the background and significance of the proof.

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.