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Topology Seminar

Rationally null-homologous knots, Rational Seifert surfaces and genus bounds
Thursday, December 7, 2017
3:00-4:00 PM
1866 East Hall Map
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. Speaker(s): Katherine Raoux (Michigan State University)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics