Geodesic
Notes on the knot concordance invariant Upsilon
Livingston, Charles1
1Department of Mathematics, Indiana University, Rawles Hall, 831 East Third Street, Bloomington, IN 47405-5701, United States
Algebraic and Geometric Topology, Tome 17 (2017) no. 1, pp. 111-130
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Ozsváth, Stipsicz and Szabó have defined a knot concordance invariant ϒK 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 ϒK and proving its basic properties.

DOI : 10.2140/agt.2017.17.111
Classification : 57M25
Keywords: knot concordance, Upsilon, four genus, concordance genus, Heegaard Floer

Livingston, Charles  1

1 Department of Mathematics, Indiana University, Rawles Hall, 831 East Third Street, Bloomington, IN 47405-5701, United States 
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Livingston, Charles. Notes on the knot concordance invariant Upsilon. Algebraic and Geometric Topology, Tome 17 (2017) no. 1, pp. 111-130. doi: 10.2140/agt.2017.17.111

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