Topology Seminar: Rob Ackermann (UCSB), 'Extending pseudo-Anosov automorphisms over compression bodies'

Event Date: 

Tuesday, January 29, 2013 -
3:30pm to 4:30pm

Event Location: 

  • 4607B South Hall

A recent result of Biringer, Johnson, and Minsky shows (roughly) that some power of a pseudo-Anosov automorphism extends over a compression body if and only if the stable/unstable laminations are the limit of meridians in some compression body. Their proof uses relatively recent ideas, including hyperbolic geometry and the curve complex. I'll present a different strategy for proving their result, which instead uses more classical ideas introduced by Casson and Long.