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Reidemeister torsion in generalized Morse theory

Michael Hutchings
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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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Michael Hutchings. 2000-04-06. Reidemeister torsion in generalized Morse theory. https://arxiv.org/abs/math/9907066

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