# 0-Concordance of 2-knots

## TL;DR

This paper explores the classification of 2-knots in 4-dimensional spheres using invariants like Rochlin's and Heegaard-Floer homology, revealing infinitely many distinct 0-concordance classes.

## Contribution

It introduces new results on 0-concordance classes of 2-knots, demonstrating their infinite diversity via advanced invariants.

## Key findings

- Existence of infinitely many 0-concordance classes of 2-knots
- Application of Rochlin's invariant to distinguish classes
- Use of Heegaard-Floer invariants to prove class diversity

## Abstract

In this paper we investigate the 0-concordance classes of 2-knots in $S^4$, an equivalence relation that is related to understanding smooth structures on 4-manifolds. Using Rochlin's invariant, and invariants arising from Heegaard-Floer homology, we will prove that there are infinitely many 0-concordance classes of 2-knots.