A note on the concordance invariants epsilon and upsilon

Jennifer Hom

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arXiv · 1407.8200

A note on the concordance invariants epsilon and upsilon

Jennifer Hom

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Abstract

Ozsvath-Stipsicz-Szabo recently defined a one-parameter family, upsilon of K at t, of concordance invariants associated to the knot Floer complex. We compare their invariant to the {-1, 0, 1}-valued concordance invariant epsilon, which is also associated to the knot Floer complex. In particular, we give an example of a knot K with upsilon uniformly equal to zero but epsilon non-zero.

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Jennifer Hom. 2014-09-11. A note on the concordance invariants epsilon and upsilon. https://arxiv.org/abs/1407.8200

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