Triangle Topology Seminar
Tuesday, September 27, 2016, 3:00pm, NCSU, SAS 4201
Jen Hom (Georgia Institute of Technology)
Knot concordance in homology spheres
Abstract:- The knot concordance group C consists of knots in S^3 modulo concordance. We consider C_Z, the group of knots in homology spheres that bound homology balls modulo homology bordisms of pairs. Matsumoto asked if the natural map from C to C_Z is an isomorphism. Adam Levine answered this question in the negative by showing the map is not surjective. We show that the image of C in C_Z is of infinite index. This is joint work with Adam Levine and Tye Lidman.
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