Monday, September 12, 2016
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4:10pm to 5:00pm
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Topology Seminar Series
(Conferences / Seminars / Lectures)
Title: Knot concordance and homology sphere groups
Speaker: Kyle Larson, MSU
We introduce the knot concordance group and various homology sphere groups constructed from 3-manifolds, and discuss two homomorphisms to the rational homology sphere group. If B denotes the homomorphism from the concordance group defined by taking double branched covers of knots, we show that the kernel of B is infinitely generated. We also study the inclusion homomorphism P from the integral homology sphere group. Using work of Lisca we show that the image of P intersects trivially with the subgroup generated by lens spaces. This is joint work with Paolo Aceto. more information...
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