A Diagramless Link Homology
Adam McDougall
TL;DR
This paper introduces a new link homology theory that does not depend on link diagrams and is closely related to Khovanov homology, offering a diagramless perspective.
Contribution
It presents a novel diagramless link homology that extends the framework of Khovanov homology without relying on link diagrams.
Findings
The diagramless homology is well-defined and invariant.
It is closely related to existing Khovanov homology.
Provides new tools for link invariants analysis.
Abstract
A link homology is defined that is independent of link diagrams. This diagramless homology is closely related to Khovanov homology.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics