Doctor of Philosophy (PhD)
We show that the contact gluing map of Honda, Kazez, and Matic has a natural algebraic description in bordered sutured Floer homology. In particular, we establish Zarev's conjecture that his gluing map on sutured Floer homology is equivalent, in the appropriate sense, to the contact gluing map. This further solidifies the relationship between bordered Floer theory and contact geometry.
Leigon, Charles Ryan, "An Equivalence Between Contact Gluing Maps in Sutured Floer Homology: A Conjecture of Zarev" (2021). LSU Doctoral Dissertations. 5564.
Vela-Vick, David Shea