Degree

Doctor of Philosophy (PhD)

Department

Mathematics

Document Type

Dissertation

Abstract

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.

Committee Chair

Vela-Vick, Shea

Available for download on Monday, June 22, 2026

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