Morse boundaries of 3-manifold groups

TL;DR

This paper classifies the Morse boundaries of all 3-manifold groups into nine types, revealing how these boundaries depend on the geometric decomposition of the manifolds.

Contribution

It provides a complete classification of Morse boundaries for 3-manifold groups and links their topology to geometric decomposition.

Findings

Nine distinct Morse boundary homeomorphism types identified

Morse boundary topology depends on geometric decomposition

Classification applies to all 3-manifold groups

Abstract

We classify the homeomorphism types of the Morse boundaries of all 3-manifold groups into 9 different possible homeomorphism types, and show how the Morse boundary depends on the geometric decomposition.