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arXiv · 2407.00522

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

Andrei Neguţ
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Abstract

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.

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Andrei Neguţ. 2024-06-29. Rational, trigonometric, elliptic algebras and moduli spaces of sheaves on surfaces. https://arxiv.org/abs/2407.00522

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