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MORSE–NOVIKOV CRITICAL POINT THEORY, COHN LOCALIZATION AND DIRICHLET UNITS

MORSE–NOVIKOV CRITICAL POINT THEORY, COHN LOCALIZATION AND DIRICHLET UNITS

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 …