Topology Seminar: Adam Knapp, “Cotangent Bundles of Open 4-manifolds”

Title: Cotangent Bundles of Open 4-manifolds
Program: Symplectic and Contact Geometry and Connections to Low-Dimensional Topology
Speaker: Adam Knapp, Columbia University
Date: Thursday, November 29, 2012
Time: 1:00pm – 2:00pm
Place: Seminar Room 313, Simons Center
Abstract: Using results of Eliashberg and Cieliebak, I show that: if X1 and X2 are two homeomorphic open 4-manifolds, then their cotangent bundles are symplectomorphic. As a corollary, all exotic R4s smoothly embed in the standard symplectic R8 as Lagrangian submanifolds.