On contact surgery and knot Floer invariants
arXiv:2007.13684 · doi:10.1093/qmath/haac020
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.
arXiv comment8 pages. To appear in Q. J. Math
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