Geodesic
The concordance invariant tau in link grid homology
Cavallo, Alberto1
1 Department of Mathematics and its Applications, Alfred Renyi Institute of Mathematics, Budapest, Hungary
Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 1917-1951

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We introduce a generalization of the Ozsváth–Szabó τ–invariant to links by studying a filtered version of link grid homology. We prove that this invariant remains unchanged under strong concordance and we show that it produces a lower bound for the slice genus of a link. We show that this bound is sharp for torus links and we also give an application to Legendrian link invariants in the standard contact 3–sphere.

DOI : 10.2140/agt.2018.18.1917
Classification : 57M25, 57M27
Keywords: link invariants, Heegaard Floer homology, Concordance

Cavallo, Alberto 1

1 Department of Mathematics and its Applications, Alfred Renyi Institute of Mathematics, Budapest, Hungary 
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Cavallo, Alberto. The concordance invariant tau in link grid homology. Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 1917-1951. doi: 10.2140/agt.2018.18.1917

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