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

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.



Daniel Cristofaro-Gardiner


University of California, Berkeley; Member, School of Mathematics