Reidemeister torsion in generalized Morse theory
Differential Geometry
2007-05-23 v2 Dynamical Systems
Symplectic Geometry
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.
Cite
@article{arxiv.math/9907066,
title = {Reidemeister torsion in generalized Morse theory},
author = {Michael Hutchings},
journal= {arXiv preprint arXiv:math/9907066},
year = {2007}
}
Comments
42 pages, LateX2e; some corrections, improved exposition