Topology Seminar, Jen Hom (Columbia): 'An infinite rank summand of topologically slice knots'

Wednesday, October 8, 2014
4:15 PM - 5:15 PM (ET)
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Academic Calendar
Constance Leidy
Math CS Topology et al. Seminar

Abstract: Let T denote the subgroup of the smooth knot concordance group generated by topologically slice knots. Endo showed that T contains an infinite rank subgroup, and Livingston and Manolescu-Owens showed that T contains a summand of rank three. We show that in fact T contains an infinite rank summand. The proof relies on the knot Floer homology package of Ozsvath-Szabo and the concordance invariant epsilon.

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