Concordance maps in $HFK^{-}$

Abstract

We show that a decorated knot concordancewhich preserves the Alexander and absolute Z 2 -Maslov gradings. Our construction generalizes the concordance maps induced on HF K studied by Juhász and Marengon [JM2], but uses the description of HF K − as a direct limit of maps between sutured Floer homology groups discovered by Etnyre, Vela-Vick, and Zarev [EVZ].2010 Mathematics Subject Classification. 57M27; 57R58. Key words and phrases. concordance, contact, sutured, knot Floer homology, HF K − . 1 We use F = F 2 coefficients throughout this paper.