The contact invariant in sutured Floer homology

Abstract

We describe an invariant of a contact 3-manifold with convex boundary as an element of Juhász's sutured Floer homology. Our invariant generalizes the contact invariant in Heegaard Floer homology in the closed case, due to Ozsváth and Szabó. This version has some clarifications and new figures.

arXiv comment29 pages, 24 figures

References in corpus (2)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• The vanishing of the contact invariant in the presence of torsion

Cited by in corpus (5)

• Contact structures, sutured Floer homology and TQFT
• The vanishing of the contact invariant in the presence of torsion
• Giroux torsion and twisted coefficients
• Joining and gluing sutured Floer homology
• Infinitely many universally tight torsion free contact structures with vanishing Ozsváth-Szabó contact invariants