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

1999/03/31 by Andrew Ranicki
Mathematics · #math.AT #math.DG #math.KT #msc:58E05 #msc:57R19

paper · pdf

published as Mathematische Annalen 322, 745-785 (2002) · 49 pages, amstex, with pictex and xypic diagrams. Revision of 1999 version, to appear in Mathematische Annalen

arxiv created 2001/06/29 · arxiv updated 2009/11/30

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.

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