Volume in Seiberg-Witten theory and the existence of two Reeb orbits

Volume in Seiberg-Witten theory and the existence of two Reeb orbits

-
Daniel Cristofaro-Gardiner, IAS
IAS Room S-101

I will discuss recent joint work with Vinicius Gripp and Michael Hutchings relating the volume of any contact three-manifold to the length of certain finite sets of Reeb orbits. I will also explain why this result implies that any closed contact three-manifold has at least two embedded Reeb orbits.