Positive Populations

TL;DR

This paper introduces a positive structure on the varieties of critical points of master functions related to KZ equations, combining classical Lusztig ideas with recent work by Mukhin and the second author.

Contribution

It presents a new positive structure on critical point varieties, integrating classical and recent approaches in the field.

Findings

Established a positive structure on critical point varieties.

Connected classical Lusztig ideas with recent developments.

Provided a framework for further exploration of KZ equations.

Abstract

A positive structure on the varieties of critical points of master functions for KZ equations is introduced. It comes as a combination of the ideas from classical works by G.Lusztig and a previous work by E.Mukhin and the second named author.