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Khovanov Laplacian and Khovanov Dirac for knots and links
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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.
Title: Khovanov Laplacian and Khovanov Dirac for knots and links
Description:
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.
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