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

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We 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.

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Differential Geometry, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/77877

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812122
 http://arxiv.org/abs/math/9812122

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arXiv