Frenkel-Gross' irregular connection and Heinloth-Ng\^o-Yun's are the same

TL;DR

This paper proves that two independently constructed irregular connections on G_m, by Frenkel-Gross and Heinloth-Ngô-Yun, are identical, confirming a conjecture about their equivalence.

Contribution

It establishes the equivalence of two different constructions of irregular connections, confirming a conjecture in the field.

Findings

The Frenkel-Gross and Heinloth-Ngô-Yun irregular connections are the same.

The conjecture about their equivalence is confirmed.

This unifies different approaches to constructing irregular connections.

Abstract

We show that the irregular connection on G_m constructed by Frenkel-Gross (2009) and the one constructed by Heinloth-Ng\^o-Yun (2013) are the same, which confirms a conjecture of the latter author's.