Unirationality of instanton moduli space for small charges

TL;DR

This paper proves that the moduli space of mathematical instantons on projective 3-space is unirational for charges up to 7, showing it can be parametrized by rational functions.

Contribution

It establishes the unirationality of the instanton moduli space for small charges, extending understanding of their geometric structure.

Findings

Unirationality holds for charges ≤ 7.

Provides explicit parametrizations for these moduli spaces.

Advances the classification of instanton moduli spaces.

Abstract

The unirationality of the moduli space of mathematical instantons on the projective 3-space is proved for charges less than or equal to 7.