# On the Cohomological Hall Algebra of the Kronecker Quiver

## TL;DR

This paper introduces the Cohomological Hall algebra for the Kronecker quiver, describing its structure at the semistable central slope using generators and relations, contributing to the understanding of algebraic structures associated with quivers.

## Contribution

It provides a detailed presentation of the semistable Cohomological Hall algebra of the Kronecker quiver at central slope, including generators and relations, which was not previously explicitly described.

## Key findings

- Explicit description of the semistable Cohomological Hall algebra
- Generators and relations for the algebra at central slope
- Enhanced understanding of quiver-related algebraic structures

## Abstract

We give a short introduction to Cohomological Hall algebras of quivers and describe the semistable Cohomological Hall algebra of central slope of the Kronecker quiver in terms of generators and relations.