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.

Location:	C304 Wells Hall [map]
Price:	free
Sponsor:	Department of Mathematics
Contact:	Department of Mathematics (517) 353-0844
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