The pants complex, the dual curve complex, and bridge splittings of knots.Geometry/Topology
|Speaker:||Alexander Zupan, University of Iowa|
|Start time:||Tue, Nov 15 2011, 3:10PM|
Recently, Jesse Johnson has used paths in the pants and dual curve complexes of Heegaard surfaces for a 3-manifold M to define invariants of M. We adapt this approach, employing the pants and dual curve complexes of bridge surfaces for a knot K in a 3-manifold M to define invariants of (M,K). We will discuss several easy calculations of these invariants and also talk about some interesting associations between distance in the pants complex and hyperbolic geometry.