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Juanita Pinzon-Caicedo, NC Stat, Iterated Whitehead Doubles are Independent
August 30, 2017 | 4:30 pm - 5:30 pm EDT
In the 1980’s Furuta and Fintushel-Stern applied the theory of instantons and Chern-Simons invariants to develop a criterion for a collection of Seifert fibred homology spheres to be independent in the homology cobordism group of oriented homology 3-spheres. These results, together with some 4-dimensional constructions can be used to show that iterated Whitehead doubles of positive torus knots are independent in the smooth concordance group.