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Stable envelopes for slices of the affine Grassmannian.

Authors :
Danilenko, Ivan
Source :
Selecta Mathematica, New Series; Sep2024, Vol. 30 Issue 4, p1-77, 77p
Publication Year :
2024

Abstract

The affine Grassmannian associated to a reductive group G is an affine analogue of the usual flag varieties. It is a rich source of Poisson varieties and their symplectic resolutions. These spaces are examples of conical symplectic resolutions dual to the Nakajima quiver varieties. We study the cohomological stable envelopes of Maulik and Okounkov (Astérisque 408:ix+209, 2019) in this family. We construct an explicit recursive relation for the stable envelopes in the G = PSL 2 case and compute the first-order correction in the general case. This allows us to write an exact formula for multiplication by a divisor. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
MULTIPLICATION
FAMILIES

Details

Language :
English
ISSN :
10221824
Volume :
30
Issue :
4
Database :
Complementary Index
Journal :
Selecta Mathematica, New Series
Publication Type :
Academic Journal
Accession number :
178805173
Full Text :
https://doi.org/10.1007/s00029-024-00953-3