Concordance maps in HFK−.

We show that a decorated knot concordance from K 0 to K 1 induces an [ U ] -module homomorphism G : HFK − (− S 3 , K 0) → HFK − (− S 3 , K 1) , which preserves the Alexander and absolute ℤ 2 -Maslov gradings. Our construction generalizes the concordance maps induced on HFK ̂ studied by Juhász and Marengon [Concordance maps in knot Floer homology, Geom. Topol.20 (2016) 3623–3673], but uses the description of HFK − as a direct limit of maps between sutured Floer homology groups discovered by Etnyre et al. [Sutured Floer homology and invariants of Legendrian and transverse knots, Geom. Topol.21 (2017) 1469–1582]. [ABSTRACT FROM AUTHOR]