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, $\widetilde{\mathscr{L}}X$. It thus points to a possible categorification of elliptic stable envelopes.Comment: 25 pages. Many changes and corrections are implemented, including a substantially modified final section. Comments are very welcome