The concordance invariant tau in link grid homology

Abstract

We introduce a generalization of the Ozsváth-Szabó $\tau$-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.

References in corpus (1)

• Floer homology and knot complements

Cited by in corpus (8)

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• Nearly fibered links with genus one
• Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex
• Slice-torus link invariants, combinatorial invariants, and positivity conditions