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JungHwan Park, Georgia Tech, Rational cobordisms and integral homology

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October 15, 2019 | 1:30 pm - 2:30 pm EDT

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We prove that every rational homology cobordism class in the subgroup generated by lens spaces is represented by a unique connected sum of lens spaces whose first homology embeds in any other element in the same class. As an application, we show that the natural map from the Z/pZ homology cobordism group to the rational homology cobordism group has large cokernel, for each prime p. This is joint work with Paolo Aceto and Daniele Celoria.



October 15, 2019

1:30 pm - 2:30 pm
Event Category:
SAS 4201