The algebraic construction of the Novikov complex of a circle-valued Morse function
arXiv:math/9903090
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.
49 pages, amstex, with pictex and xypic diagrams. Revision of 1999 version, to appear in Mathematische Annalen