Abstract
dc:description.abstract<p>We introduce two monoidal supercategories: the odd dotted Temperley-Lieb category TLo,•(δ), which is a generalization of the odd Temperley-Lieb category studied by Brun-dan and Ellis in [5], and the odd annular Bar-Natan category BNo(A), which generalizes the odd Bar-Natan category studied by Putyra in [16]. We then show there is an equivalence of categories between them if δ=0. We use this equivalence to better understand the action of the Lie superalgebra gl(1|1) on the odd Khovanov homology of a knot in a thickened annulus found by Grigsby and Wehrli in [7].</p>
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (PhD)
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Year
- 2021
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Necheles, Casey
- Contributors dc:contributor
-
- Wehrli, Stephan
- Miller, Claudia
Subjects
dc:subject × 3Identifiers
dc:identifier.*- Repository record dc:identifier
- https://surface.syr.edu/etd/1345
- OAI identifier oai:identifier
- oai:surface.syr.edu:etd-2346