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

Published 29 Jun 2024 in math.AG, math.QA, and math.RT | (2407.00522v2)

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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Authors (1)

  1. Andrei NeguĊ£ 

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