Shuffle algebras associated to surfaces
Name
29_2019_481_ReferencePDF.pdf
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485.66 KB
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Adobe PDF
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7249df621deef826d1b32c493c678474
Author(s)
Neguț, Andrei
Date Issued
May 15, 2019
Publisher
Springer International Publishing
Citation
Selecta Mathematica. 2019 May 15;25(3):36
Version
Author's final manuscript
Abstract
Abstract
We consider the algebra of Hecke correspondences (elementary transformations at a single point) acting on the algebraic K-theory groups of the moduli spaces of stable sheaves on a smooth projective surface S. We derive quadratic relations between the Hecke correspondences, and compare the algebra they generate with the Ding–Iohara–Miki algebra (at a suitable specialization of parameters), as well as with a generalized shuffle algebra.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00029-019-0481-z
