Proceedings of the Edinburgh Mathematical Society (Series 2)

Research Article

The Lalonde–McDuff Conjecture and the fundamental group

Jarek Kędraa1

a1 Department of Mathematical Sciences, University of Aberdeen, Meston Building, Aberdeen AB24 3UE, UK and Institute of Mathematics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland (kedra@maths.abdn.ac.uk))

Abstract

We give a simple proof of the Lalonde–McDuff Conjecture for aspherical manifolds.

(Received January 27 2009)

Keywords

  • aspherical manifold;
  • Hamiltonian fibration;
  • cohomology

2010 Mathematics subject classification

  • Primary 57R17;
  • Secondary 55R10