Cotangent Bundles of Open 4-manifolds

Adam Knapp

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.

http://scgp.stonybrook.edu/video_portal/video.php?id=1485

Simons- Program: Low Dimensional Topology (Fall 2012)