# Local approximation of non-holomorphic discs in almost complex manifolds

## TL;DR

This paper presents a method to locally approximate non-holomorphic discs with small d-bar by pseudoholomorphic discs in almost complex manifolds, enabling new gluing constructions.

## Contribution

It introduces a local approximation technique for non-holomorphic discs and applies it to develop a novel gluing construction in almost complex manifolds.

## Key findings

- Approximation of non-holomorphic discs by pseudoholomorphic ones.
- Development of a gluing construction using the approximation.
- Enhanced understanding of local structures in almost complex manifolds.

## Abstract

We provide a local approximation result of non-holomorphic discs with small d-bar by pseudoholomorphic ones. As an application, we provide a certain gluing construction.