The support of the Khovanov's invariants for alternating knots
Eun Soo Lee (MIT)
TL;DR
This paper proves a conjecture regarding the support of Khovanov's invariants specifically for alternating knots, advancing the understanding of knot invariants in topology.
Contribution
It confirms a conjecture about the support of Khovanov's invariants for alternating knots, providing a significant theoretical result in knot theory.
Findings
Proof of the conjecture on the support of Khovanov's invariants for alternating knots
Advancement in understanding the structure of Khovanov homology
Clarification of the behavior of invariants in specific knot classes
Abstract
In this article, we prove the conjecture of Bar-Natan, Garoufalidis, and Khovanov's on the support of the Khovanov's invariants for alternating knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics