Elliptic stable envelopes and hypertoric loop spaces

TL;DR

This paper explores the relationship between elliptic stable envelopes of hypertoric varieties and K-theoretic stable envelopes of loop hypertoric spaces, suggesting a pathway towards categorification of elliptic stable envelopes.

Contribution

It establishes a connection between elliptic stable envelopes and K-theoretic stable envelopes in the context of hypertoric varieties and their loop spaces, proposing a new categorification perspective.

Findings

Identifies a relationship between elliptic and K-theoretic stable envelopes.

Suggests a potential categorification of elliptic stable envelopes.

Provides a framework linking hypertoric varieties with 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.