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September 2016

Jen Hom (Georgia Tech), Triangle Topology Seminar

September 27, 2016 @ 2:00 pm - 4:00 pm

Pre-talk: SAS 2229 2-2:45 Title: The knot concordance group Abstract: The set of knots in S^3 under the operation of connected sum forms a monoid. By quotienting by an equivalence relation called concordance, we obtain the knot concordance group. We will discuss ways of understanding the structure of this group and introduce some concordance invariants coming from Heegaard Floer theory.   Seminar talk: SAS 2102 3:00-4:00 Title: Knot concordance in homology spheres Abstract: The knot concordance group C consists of knots…

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February 2017

Peter Lambert-Cole (Indiana), Triangle Topology Seminar

February 21, 2017 @ 3:00 pm - 4:00 pm

There will be two talks; one at 3:00 pm and the second talk will be at 4:15 pm. Title: Conway mutation and knot Floer homology Abstract: Mutant knots are notoriously hard to distinguish. Many, but not all, knot invariants take the same value on mutant pairs. Khovanov homology with coefficients in Z/2Z is known to be mutation-invariant, while the bigraded knot Floer homology groups can distinguish mutants such as the famous Kinoshita-Terasaka and Conway pair. However, Baldwin and Levine conjectured that…

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