Reidemeister torsion in generalized Morse theory

1999/07/12 by Michael Hutchings, Hutchings, Michael
Mathematics · #57R70 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.DG #math.DS #math.SG #msc:57R70

paper · pdf · doi:10.48550/arxiv.math/9907066

42 pages, LateX2e; some corrections, improved exposition

openalex publication_date 1999/07/12 · arxiv created 2000/04/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In two previous papers with Yi-Jen Lee, we defined and computed a notion of Reidemeister torsion for the Morse theory of closed 1-forms on a finite dimensional manifold. The present paper gives an a priori proof that this Morse theory invariant is a topological invariant. It is hoped that this will provide a model for possible generalizations to Floer theory.

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