Reduced 2-coloured Khovanov Homology detects the Trefoil
George Robinson
TL;DR
This paper proves that the reduced 2-coloured Khovanov homology uniquely identifies the trefoil knot by employing a spectral sequence connecting it to knot Floer homology.
Contribution
It establishes the detection property of reduced 2-coloured Khovanov homology for the trefoil, a new result in knot theory.
Findings
Reduced 2-coloured Khovanov homology detects the trefoil.
Spectral sequence links Khovanov homology to knot Floer homology.
Provides a new method for knot detection.
Abstract
We prove that the reduced 2-coloured Khovanov homology detects the trefoil, using a spectral sequence to knot Floer homology.
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Taxonomy
TopicsGeometric and Algebraic Topology · Hedgehog Signaling Pathway Studies · Algebraic Geometry and Number Theory