Exactness of the Novikov inequalities
نویسندگان
چکیده
منابع مشابه
Novikov Inequalities with Symmetry
We suggest Novikov type inequalities in the situation of a compact Lie groups action assuming that the given closed 1-form is invariant and basic. Our inequalities use equivariant cohomology and an appropriate equivariant generalization of the Novikov numbers. We test and apply our inequalities in the case of a finite group. As an application we obtain Novikov type inequalities for a manifold w...
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In this paper we show that Novikov type inequalities for closed 1-forms hold with the von Neumann Betti numbers replacing the Novikov numbers. As a consequence we obtain a vanishing theorem for L cohomology. We also prove that von Neumann Betti numbers coincide with the Novikov numbers for free abelian coverings. §0. Introduction S. Novikov and M. Shubin [NS] proved that Morse inequalities for ...
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ژورنال
عنوان ژورنال: Functional Analysis and Its Applications
سال: 1985
ISSN: 0016-2663,1573-8485
DOI: 10.1007/bf01086024