paper

Counting maximally broken Morse trajectories on aspherical manifolds

arXiv:1808.08737 · doi:10.1007/s10711-018-00420-2

Abstract

We prove a lower bound on the number of maximally broken trajectories of the negative gradient flow of a Morse-Smale function on a closed aspherical manifold in terms of integral (torsion) homology.

13 pages. Last changes for the publication; corrected a typo in the proof of Lemma 4.4

Counting maximally broken Morse trajectories on aspherical manifolds · wovepaper