Seminar Event Detail


Topology

Date:  Thursday, December 07, 2017
Location:  1866 East Hall (3:00 PM to 4:00 PM)

Title:  Rationally null-homologous knots, Rational Seifert surfaces and genus bounds

Abstract:   Let K be a knot in a 3-manifold 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 Ozsvath-Szabo tau-invariants 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

 

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