Elliptic stable envelopes and hypertoric loop spaces

Abstract

This paper relates the elliptic stable envelopes of a hypertoric variety $X$ with the K-theoretic stable envelopes of the loop hypertoric space, $\tilde{\mathcal{L}}X$. It thus points to a possible categorification of elliptic stable envelopes.

To appear in Selecta Mathematica. Some corrections and improvements to the exposition with respect to the previous version