Reidemeister torsion in generalized Morse theory

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.

arXiv comment42 pages, LateX2e; some corrections, improved exposition

References in corpus (1)

• Circle-valued Morse theory and Reidemeister torsion

Cited by in corpus (1)

• One parameter fixed point theory and gradient flows of closed 1-forms