# On odd torsion in even Khovanov homology

## TL;DR

This paper advances understanding of Khovanov homology by resolving key conjectures and providing the first examples of knots with high-order odd torsion in their even Khovanov homology.

## Contribution

It resolves the main part of the PS braid conjecture and introduces the first known knots with odd torsion of orders 9, 27, 81, and 25.

## Key findings

- Resolved the main part of the PS braid conjecture.
- Discovered knots with odd torsion of orders 9, 27, 81, and 25.
- First known examples of such high-order odd torsion in even Khovanov homology.

## Abstract

This short note resolves the most important part of the PS braid conjecture while introducing the first known examples of knots and links with odd torsion of order 9, 27, 81, and 25 in their even Khovanov homology.