The Lalonde-McDuff conjecture and the fundamental group

TL;DR

This paper provides a straightforward proof of the Lalonde-McDuff conjecture specifically for aspherical manifolds, contributing to the understanding of their geometric and topological properties.

Contribution

The paper offers a simple proof of the Lalonde-McDuff conjecture in the context of aspherical manifolds, advancing the theoretical understanding in this area.

Findings

Proof of the Lalonde-McDuff conjecture for aspherical manifolds

Clarification of the conjecture's applicability to a specific class of manifolds

Enhanced understanding of the geometric structure of aspherical manifolds

Abstract

We give a simple proof of the Lalonde-McDuff conjecture for aspherical manifolds.