Volume optimization on triangulated 3-manifolds

Volume optimization on triangulated 3-manifolds

-
Feng Luo, Rutgers University
Fine Hall 314

We propose a finite dimensional variational principle on triangulated 3-manifolds so that its critical points are related to solutions to Thurston's equation and Haken's normal surface equation. The action functional is the volume. This is a generalization of an earlier program by Casson and Rivin for compact 3-manifolds with torus boundary