Presented by: 
Jonathan Spreer, UQ
Tue 14 Apr, 3:00 pm - 4:00 pm
67 - 442

First I will present sharp linear bounds on the genus of a normal surface in a triangulated compact, orientable 3-manifold in terms of the quadrilaterals in its cell decomposition. Different bounds arise from varying hypotheses on the surface or triangulation.

Then I will show how these bounds can be used to prove that an alternative approach of the realisation problem using normal surface theory is less powerful than its dual method using subcomplexes of polytopes.

This is joint work with William Jaco, Jesse Johnson and Stephan Tillmann.