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Euler characteristic of stable envelopes.

Authors :
Dinkins, Hunter
Smirnov, Andrey
Source :
Selecta Mathematica, New Series. Sep2022, Vol. 28 Issue 4, p1-29. 29p.
Publication Year :
2022

Abstract

In this paper we prove a formula relating the equivariant Euler characteristic of K-theoretic stable envelopes to an object known as the index vertex for the cotangent bundle of the full flag variety. Our formula demonstrates that the index vertex is the power series expansion of a rational function. This result is a consequence of the 3d mirror self-symmetry of the variety considered here. In general, one expects an analogous result to hold for any two varieties related by 3d mirror symmetry. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10221824
Volume :
28
Issue :
4
Database :
Academic Search Index
Journal :
Selecta Mathematica, New Series
Publication Type :
Academic Journal
Accession number :
158218685
Full Text :
https://doi.org/10.1007/s00029-022-00788-w