# Khovanov homology and ribbon concordance

## TL;DR

This paper demonstrates that ribbon concordance between links guarantees an injective map on their Khovanov homology, revealing a new algebraic property linked to topological link transformations.

## Contribution

It establishes a novel connection between ribbon concordance and injectivity in Khovanov homology maps, advancing understanding of link invariants.

## Key findings

- Ribbon concordance induces an injective map on Khovanov homology.
- The result links topological concordance to algebraic invariants.
- Provides new tools for studying link concordance via homology.

## Abstract

We show that a ribbon concordance between two links induces an injective map on Khovanov homology.