On contact surgery and knot Floer invariants

Irena Matkovič

doi:10.1093/qmath/haac020

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arXiv · 2007.13684

On contact surgery and knot Floer invariants

Irena Matkovič

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Abstract

We establish some general relations between Heegaard Floer based contact invariants. In particular, we observe that if the contact invariant of large negative, respectively positive, contact surgeries along a Legendrian knot does not vanish, then the Legendrian invariant, respectively the Legendrian inverse limit invariant, of that knot is non-zero. We use sutured Floer homology, and the limit constructions due to Golla, and Etnyre, Vela-Vick and Zarev.

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Irena Matkovič. 2020-07-27. On contact surgery and knot Floer invariants. https://doi.org/10.1093/qmath/haac020

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