Equivalence of Contact Gluing Maps in Sutured Floer Homology

Ryan Leigon, Federico Salmoiraghi

Published 2020-05-11Version 1

We show that the contact gluing map of Honda, Kazez, and Matic has a natural algebraic description. In particular, we establish a conjecture of Zarev, that his gluing map on sutured Floer homology is equivalent to the contact gluing map.