The concordance invariant tau in link grid homology

Cavallo, Alberto

doi:10.2140/agt.2018.18.1917

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The concordance invariant tau in link grid homology

Alberto Cavallo

Algebraic & Geometric Topology 18 (2018) 1917–1951

DOI: 10.2140/agt.2018.18.1917

Abstract

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.

Keywords

link invariants, Heegaard Floer homology, Concordance

Mathematical Subject Classification 2010

Primary: 57M25, 57M27

References

Publication

Received: 12 January 2016

Revised: 6 September 2017

Accepted: 6 February 2018

Published: 26 April 2018

Authors

Alberto Cavallo
Department of Mathematics and its Applications Alfred Renyi Institute of Mathematics Budapest Hungary

Volume 18, issue 4 (2018)