A pattern for torsion in Khovanov homology

TL;DR

This paper demonstrates that specific sums of enhanced states in Khovanov homology can produce torsion of order two, providing insights into the torsion structure within the homology.

Contribution

It introduces a new pattern for torsion in Khovanov homology based on particular sums of enhanced states, advancing understanding of torsion phenomena.

Findings

Certain sums of enhanced states produce order two torsion

Identifies a specific pattern for torsion in Khovanov homology

Enhances understanding of torsion structures in knot invariants

Abstract

We prove that certain specific sum of enhanced states produce torsion of order two in the Khovanov homology.