Elliptic stable envelopes and hypertoric loop spaces
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29_2023_876_ReferencePDF.pdf
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Author(s)
McBreen, Michael
Sheshmani, Artan
Yau, Shing-Tung
Date Issued
September 27, 2023
Publisher
Springer International Publishing
Citation
Selecta Mathematica. 2023 Sep 27;29(5):73
Version
Author's final manuscript
Abstract
Abstract
This paper describes a relation between the elliptic stable envelopes of a hypertoric variety
$$X$$
X
and a distinguished K-theory class on the product of the loop hypertoric space
$$\widetilde{\mathscr {L}}X$$
L
~
X
and its symplectic dual
$$\mathscr {P}X^!$$
P
X
!
. This class intertwines the K-theoretic stable envelopes in a certain limit. Our results are suggestive of a possible categorification of elliptic stable envelopes.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00029-023-00876-5
