Frenkel-Gross' irregular connection and Heinloth-Ng\^{o}-Yun's are the same
Xinwen Zhu
TL;DR
This paper proves that two independently constructed irregular connections on the multiplicative group are actually identical, confirming a conjecture and unifying different approaches in the theory of irregular connections.
Contribution
It establishes the equivalence of Frenkel-Gross' and Heinloth-Ngô-Yun's irregular connections, confirming a key conjecture in the field.
Findings
The two irregular connections are identical.
Confirmation of Conjecture 2.14 from arXiv:1005.2765.
Unification of different constructions in irregular connection theory.
Abstract
We show that the irregular connection on constructed by Frenkel-Gross (2009) and the one constructed by Heinloth-Ng\^{o}-Yun (arXiv:1005.2765) are the same, which confirms the Conjecture 2.14 of arXiv:1005.2765.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models