Representations with minimal support for quantized Gieseker varieties
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Author(s) • • •
Etingof, Pavel
Krylov, Vasily
Losev, Ivan
Simental, José
Date Issued
January 6, 2021
Publisher
Springer Berlin Heidelberg
Version
Author's final manuscript
Abstract
Abstract
We study the minimally supported representations of quantizations of Gieseker moduli spaces. We relate them to
$${\text {SL}}_n$$
SL
n
-equivariant D-modules on the nilpotent cone of
$$\mathfrak {sl}_n$$
sl
n
and to minimally supported representations of type A rational Cherednik algebras. Our main result is character formulas for minimally supported representations of quantized Gieseker moduli spaces.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00209-020-02642-1