A Khovanov Laplacian and Khovanov Dirac for Knots and Links
Geometric Topology
2024-12-17 v2 Algebraic Topology
Abstract
Khovanov homology has been the subject of much study in knot theory and low dimensional topology since 2000. This work introduces a Khovanov Laplacian and a Khovanov Dirac to study knot and link diagrams. The harmonic spectrum of the Khovanov Laplacian or the Khovanov Dirac retains the topological invariants of Khovanov homology, while their non-harmonic spectra reveal additional information that is distinct from Khovanov homology.
Cite
@article{arxiv.2411.18841,
title = {A Khovanov Laplacian and Khovanov Dirac for Knots and Links},
author = {Benjamin Jones and Guo-Wei Wei},
journal= {arXiv preprint arXiv:2411.18841},
year = {2024}
}