A note on the concordance invariants epsilon and upsilon

DOI10.1090/PROC/12706zbMATH Open1337.57020arXiv1407.8200OpenAlexW1538592801MaRDI QIDQ2789885

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Publication date: 2 March 2016

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1407.8200

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