Notes on the knot concordance invariant Upsilon

Charles Livingston

doi:10.2140/agt.2017.17.111

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Home > Journals > Algebr. Geom. Topol. > Volume 17 > Issue 1 > Article

2017 Notes on the knot concordance invariant Upsilon

Charles Livingston

Algebr. Geom. Topol. 17(1): 111-130 (2017). DOI: 10.2140/agt.2017.17.111

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Abstract

Ozsváth, Stipsicz and Szabó have defined a knot concordance invariant $ϒ_{K}$ taking values in the group of piecewise linear functions on the closed interval $[0, 2]$ . This paper presents a description of one approach to defining $ϒ_{K}$ and proving its basic properties.

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Charles Livingston. "Notes on the knot concordance invariant Upsilon." Algebr. Geom. Topol. 17 (1) 111 - 130, 2017. https://doi.org/10.2140/agt.2017.17.111