Degree
Doctor of Philosophy (PhD)
Department
Mathematics
Document Type
Dissertation
Abstract
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.
Date
6-9-2021
Recommended Citation
Leigon, Charles Ryan, "An Equivalence Between Contact Gluing Maps in Sutured Floer Homology: A Conjecture of Zarev" (2021). LSU Doctoral Dissertations. 5564.
https://repository.lsu.edu/gradschool_dissertations/5564
Committee Chair
Vela-Vick, David Shea
DOI
10.31390/gradschool_dissertations.5564