# Proper J-holomorphic discs in Stein domains of dimension 2

## TL;DR

This paper proves the existence of global Bishop discs in strictly pseudoconvex Stein domains within almost complex manifolds of complex dimension 2, advancing understanding of complex structures in these settings.

## Contribution

It establishes the existence of proper J-holomorphic discs in Stein domains of complex dimension 2, a novel result in almost complex geometry.

## Key findings

- Existence of global Bishop discs in strictly pseudoconvex Stein domains.
- Application to almost complex manifolds of complex dimension 2.
- Advancement in the theory of J-holomorphic curves.

## Abstract

We prove the existence of global Bishop discs in a strictly pseudoconvex Stein domain in an almost complex manifold of complex dimension 2.