Date: Thursday, December 07, 2017
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: Rationally nullhomologous knots, Rational Seifert surfaces and genus bounds
Abstract: Let K be a knot in a 3manifold Y that represents a torsion class in the first homology of Y. Since K is torsion, it has finite order, p, and unless p=1, K does not bound a surface in Y. However, we can always find a surface which wraps p times around K. Using this construction, Ni showed that K defines a filtration of the Heegaard Floer chain complex of Y indexed by the rationals. We will use this filtration to define analogues of the OzsvathSzabo tauinvariants for such knots and show that when Y bounds a rational homology ball, these invariants give lower bounds for the genus of a surface with boundary K.
Files:
Speaker: Katherine Raoux
Institution: Michigan State University
Event Organizer: Diana Hubbard dianahub@umich.edu
