3 papers
math.GT2026
Plane Floer homology and the odd Khovanov homology of 2-knots
Dean Spyropoulos, Rithwik Susheel Vidyarthi, Chen Zhang
We prove a conjecture of Migdail and Wehrli regarding the odd Khovanov cobordism maps associated to knotted spheres. Our key tool is Daemi's plane Floer homology, which we use in p…
math.QA2025
Hochschild (co)homology for odd Khovanov arc algebras
Dean Spyropoulos
We extend Hochschild homology and cohomology to quasi-associative algebras, which were defined initially by Albuquerque and Majid and generalized by Naisse and Putyra via grading c…
math.GT2024
Jones-Wenzl projectors and odd Khovanov homology
Dean Spyropoulos
The Jones-Wenzl projectors are particular elements of the Temperley-Lieb algebra essential to the construction of quantum 3-manifold invariants. As a first step toward categorifyin…