Homological algebra of Novikov-Shubin invariants and Morse inequalities

DOI10.1007/BF02247115zbMath0866.57026arXivdg-ga/9606013MaRDI QIDQ1924202

Michael S. Farber

Publication date: 15 July 1997

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9606013

zbMATH Keywords

Morse inequalitiescohomologyNovikov-Shubin invariantsextended \(L^ 2\)-homology

Mathematics Subject Classification ID

Differential topology (57R99) Categorical algebra (18E99)

Related Items (13)

Obituary: Mikhail Shubin (1944--2020) ⋮ Homology equivalences of manifolds and zero-in-the-spectrum examples ⋮ Discrete Morse theory and extended \(L^2\) homology ⋮ Some mixed Hodge structures on \(l^{2}\)-cohomology groups of coverings of Kähler manifolds ⋮ A cohomological description of property (T) for quantum groups ⋮ Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups ⋮ VANISHING RESULTS FOR L²-BETTI NUMBERS AND L²-EULER CHARACTERISTICS AND THEIR APPLICATIONS ⋮ A groupoid approach to Lück's amenability conjecture ⋮ Morse functions on cobordisms ⋮ Introduction to \(\ell_2\)-methods in topology: Reduced \(\ell_2\)-homology, harmonic chains, \(\ell_2\)-Betti numbers ⋮ \(L^2\) adjoint linear systems ⋮ Von Neumann Betti numbers and Novikov type inequalities ⋮ Numerical invariants of cochain complexes and the Morse numbers of manifolds

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• Cellular decompositions and Novikov-Shubin invariants

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