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arXiv.org e-Print Archive
Preprint . 2024
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2024
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Nonabelian shift operators and shifted Yangians

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2024Publisher:arXiv
Authors: Tamagni, Spencer;

doi: 10.48550/arxiv.2412.17906

arXiv: http://arxiv.org/abs/2412.17906

Nonabelian shift operators and shifted Yangians

Abstract

We introduce nonabelian analogs of shift operators in the enumerative theory of quasimaps. We apply them on the one hand to strengthen the emerging analogy between enumerative geometry and the geometric theory of automorphic forms, and on the other hand to obtain results about quantized Coulomb branch algebras. In particular, we find a short and direct proof that the equivariant convolution homology of the affine Grassmannian of $GL_n$ is a quotient of a shifted Yangian.

44 pages

Keywords

High Energy Physics - Theory, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Representation Theory (math.RT), Algebraic Geometry (math.AG), Mathematical Physics, Mathematics - Representation Theory

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green