Reidemeister torsion in generalized Morse theory

Details Reidemeister torsion in generalized Morse theory Reidemeister torsion in generalized Morse theory

1999-07-12

arxiv.org/abs/math/9907066v2

Mathematics

Differential Geometry

42 pages, LateX2e; some corrections, improved exposition

Scientific paper

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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