Von Neumann Betti numbers and Novikov type inequalities

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dc.creatorFarber, Michael
dc.date1998-10-18
dc.date.accessioned2026-07-07T05:26:31Z
dc.date.available2026-07-07T05:26:31Z
dc.descriptionIt is shown that the Novikov inequalities for critical points of closed 1-forms hold with the von Neumann Betti numbers replacing the Novikov numbers. As a corollary we obtain a vanishing theorem for $L^2$ cohomology, generalizing a theorem of W. Lueck. We also prove that von Neumann Betti numbers coincide with the Novikov numbers for free abelian coverings.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/9810114
dc.identifierhttp://arxiv.org/abs/math/9810114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77579
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectAlgebraic Topology
dc.subjectRepresentation Theory
dc.subjectSymplectic Geometry
dc.titleVon Neumann Betti numbers and Novikov type inequalities
dc.typetext

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