5 papers · 1 filter
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…
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…