Smooth structures on Morse trajectory spaces, featuring finite ends and associative gluing

Abstract

We give elementary constructions of manifold with corner structures and associative gluing maps on compactifications of spaces of infinite, half infinite, and finite Morse flow lines.

This paper is very much meant as service to the community, so all kinds of feedback will be highly welcome. Notation is complicated by finite ends; readers interested in the basics should "quotient out by those technicalities"

Cited by in corpus (4)

• An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves
• Morse-Bott cohomology from homological perturbation theory
• Using simplicial volume to count maximally broken Morse trajectories
• On the cohomology ring of symplectic fillings