Von Neumann Betti numbers and Novikov type inequalities

DOI10.1090/S0002-9939-00-05340-5zbMath0952.58017arXivmath/9810114MaRDI QIDQ4490246

Michael S. Farber

Publication date: 10 July 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9810114

zbMATH Keywords

Novikov type inequalitiesvon Neumann Betti numbers

Mathematics Subject Classification ID

Variational problems in infinite-dimensional spaces (58E99) Algebraic topology on manifolds and differential topology (57R19)

Related Items (1)

Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups

Cites Work

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• \(L_ 2\)-cohomology and group cohomology
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities
• Von Neumann categories and extended \(L^2\)-cohomology
• \(L^ 2\)-Betti numbers of mapping tori and groups
• Homological algebra of Novikov-Shubin invariants and Morse inequalities
• Novikov type inequalities for differential forms with non-isolated zeros
• The Novikov-Bott inequalities

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