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- W2950350306 abstract "In this paper we construct a Universal chain complex, counting zeros of closed 1-forms on a manifold. The Universal complex is a refinement of the well known Novikov complex; it relates the homotopy type of the manifold, after a suitable noncommutative localization, with the numbers of zeros of different indices which may have closed 1-forms within a given cohomology class. The Main Theorem of the paper generalizes the result of a joint paper with A. Ranicki, which treats the special case of closed 1-forms having integral cohomology classes. The present paper also describes a number of new inequalities, giving topological lower bounds on the number of zeroes of closed 1-forms. In particular, such estimates are provided by the homology of flat line bundles with monodromy described by complex numbers which are not Dirichlet units." @default.
- W2950350306 created "2019-06-27" @default.
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- W2950350306 date "1999-11-20" @default.
- W2950350306 modified "2023-09-27" @default.
- W2950350306 title "Morse-Novikov critical point theory, Cohn localization and Dirichlet units" @default.
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