The algebraic construction of the Novikov complex of a circle-valued Morse function
Algebraic Topology
2007-05-23 v2 Differential Geometry
K-Theory and Homology
Abstract
The Novikov complex of a circle-valued Morse function is constructed algebraically from the Morse-Smale complex of the restriction to a fundamental domain of the real-valued Morse function on the pullback infinite cyclic cover.
Keywords
Cite
@article{arxiv.math/9903090,
title = {The algebraic construction of the Novikov complex of a circle-valued Morse function},
author = {Andrew Ranicki},
journal= {arXiv preprint arXiv:math/9903090},
year = {2007}
}
Comments
49 pages, amstex, with pictex and xypic diagrams. Revision of 1999 version, to appear in Mathematische Annalen