An approach to categorification of Verma modules

TL;DR

This paper presents a geometric method to categorify Verma modules for quantum sl_2, providing a new perspective on their structure through geometric categorification techniques.

Contribution

It introduces a novel geometric categorification approach for Verma modules of quantum sl_2, expanding the understanding of their algebraic and geometric properties.

Findings

Established a geometric categorification framework for Verma modules

Connected categorification with quantum group representations

Provided new insights into the structure of Verma modules

Abstract

We give a geometric categorification of the Verma modules $M(\lambda)$ for quantum $\mathfrak{sl}_2$.