Morse homology on noncompact manifolds

2009/11/09 by Kai Cieliebak, Cieliebak, Kai, Urs Frauenfelder +1 · 1 citation
Computer Science · Mathematics · #53D40 #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis #math.SG #msc:53D40

paper · pdf · doi:10.48550/arxiv.0911.1805

26 pages

arxiv created 2009/11/09 · openalex publication_date 2009/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a Morse function on a manifold whose moduli spaces of gradient flow lines for each action window are compact up to breaking one gets a bidirect system of chain complexes. There are different possibilities to take limits of such a bidirect system. We discuss in this note the relation between these different limits.

Cited by

• Invariance property of Morse homology on noncompact manifolds

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