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

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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

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