"Open book decompositions of S^3"

Geometry Topology Seminar
Thursday, June 7, 2012 - 13:00
1 hour (actually 50 minutes)
Skiles 005
I will talk briefly about how the study of fibred knots and Thurston's classification of automorphisms of surfaces in the 70's lead to Gabai and Oertel's work on essential laminations in the 80's.  Some of this structure, for instance fractional Dehn twist coefficients, has implications in contact topology.  I will describe results and examples, both old and new, that emphasize the special nature of S^3.  This talk is based on joint work with Rachel Roberts.