The algebraic construction of the Novikov complex of a circle-valued Morse function

Details The algebraic construction of the Novikov complex of a circle-valued Morse function The algebraic construction of the Novikov complex of a circle-valued Morse function

1999-03-15

arxiv.org/abs/math/9903090v2

Mathematische Annalen 322, 745-785 (2002)

Mathematics

Algebraic Topology

49 pages, amstex, with pictex and xypic diagrams. Revision of 1999 version, to appear in Mathematische Annalen

Scientific paper

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.

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