
TL;DR
The paper introduces a new variation of Khovanov homology based on spanning trees, proving it is a link invariant and exploring its properties through theoretical analysis and computational experiments.
Contribution
It defines a novel spanning tree-based Khovanov homology, establishing its invariance and analyzing its properties, which advances the understanding of link invariants.
Findings
The new homology is a link invariant.
Properties of the invariant are characterized.
Computational results demonstrate its applicability.
Abstract
We define a variation of Khovanov homology with an explicit description in terms of the spanning trees of a link projection. We prove that this new theory is a link invariant and describe some of its properties. Finally, we provide some the results of some computer computations of the invariant.
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