Doctor of Philosophy (PhD)
The contact invariant from Heegaard Floer homology is a useful tool for studying
contact structures. This invariant is preserved under cut-and-paste operations
by contact gluing maps of Honda, Kazez, and Matic. However, these maps are
difficult to compute in practice, even in simple cases.
We show that the contact gluing map of Honda, Kazez, and Matic
has a natural description in terms of bordered sutured Floer homology. In
particular, we establish Zarev’s conjecture that his pairing on sutured Floer
homology is equivalent to the contact gluing map.
Salmoiraghi, Federico, "Equivalence of Contact Gluing Maps in Sutured Floer Homology" (2019). LSU Doctoral Dissertations. 5017.
Available for download on Monday, June 22, 2026