Rational, trigonometric, elliptic algebras and moduli spaces of sheaves on surfaces

Fuente: arXiv
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Auteur principal: Neguţ, Andrei
Format: Preprint
Publié: 2024
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author Neguţ, Andrei
author_facet Neguţ, Andrei
contents We survey the well-known Yangian of $\widehat{\mathfrak{gl}}_1$ /quantum toroidal $\mathfrak{gl}_1$ action on the cohomology / $K$-theory of moduli spaces of stable sheaves on surfaces, and give the generalization of this construction to elliptic cohomology.
format Preprint
id arxiv_https___arxiv_org_abs_2407_00522
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Rational, trigonometric, elliptic algebras and moduli spaces of sheaves on surfaces
Neguţ, Andrei
Algebraic Geometry
Quantum Algebra
Representation Theory
We survey the well-known Yangian of $\widehat{\mathfrak{gl}}_1$ /quantum toroidal $\mathfrak{gl}_1$ action on the cohomology / $K$-theory of moduli spaces of stable sheaves on surfaces, and give the generalization of this construction to elliptic cohomology.
title Rational, trigonometric, elliptic algebras and moduli spaces of sheaves on surfaces
topic Algebraic Geometry
Quantum Algebra
Representation Theory
url https://arxiv.org/abs/2407.00522