6 papers
Myopic Tutte polynomials and Khovanov homology in
Keegan Boyle, Dean Spyropoulos
We present a "myopic" Tutte polynomial for graphs on which takes only nullhomologous spanning subgraphs as input. It recovers the generalized Krushkal polynomial an…
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…
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…
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…
Belted sum decompositions of fully augmented links
Porter Morgan, Brian Ransom, Dean Spyropoulos +2
Given two orientable, cusped hyperbolic 3-manifolds containing certain thrice-punctured spheres, Adams gave a diagrammatic definition for a third such manifold, their belted sum. F…
The Jones polynomial of an almost alternating link
Adam M. Lowrance, Dean Spyropoulos
A link is almost alternating if it is non-alternating and has a diagram that can be transformed into an alternating diagram via one crossing change. We give formulas for the first…