The Morse-Novikov theory of circle-valued functions and noncommutative localization

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dc.creatorFarber, Michael
dc.creatorRanicki, Andrew
dc.date1998-12-21
dc.date.accessioned2026-07-07T05:27:19Z
dc.date.available2026-07-07T05:27:19Z
dc.descriptionWe use noncommutative localization to construct a chain complex which counts the critical points of a circle-valued Morse function on a manifold, generalizing the Novikov complex. As a consequence we obtain new topological lower bounds on the minimum number of critical points of a circle-valued Morse function within a homotopy class, generalizing the Novikov inequalities.
dc.identifierhttps://arxiv.org/abs/math/9812122
dc.identifierhttp://arxiv.org/abs/math/9812122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77877
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.titleThe Morse-Novikov theory of circle-valued functions and noncommutative localization
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