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Reidemeister torsion in generalized Morse theory

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arxiv math/9907066 v2 pith:56UZSAAF submitted 1999-07-12 math.DG math.DSmath.SG

Michael Hutchings This is my paper · ORCID
classification math.DGmath.DSmath.SG
keywords theorymorseinvariantreidemeistertorsionclosedcomputeddefined
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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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  1. The Fried Conjecture for Morse-Smale Flows: A Survey on Ray-Singer and Milnor Metrics

    math.DG 2026-07 conditional novelty 1.0 of 10

    A survey of the Morse-Smale Fried conjecture: it assembles the twisted Hodge, Thom-Smale, and Ruelle-zeta machinery and states the Ray-Singer = Milnor metric equality, attributing the proof to [SY21].

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