\(L^ 2\)-Betti numbers of mapping tori and groups

DOI10.1016/0040-9383(94)90011-6zbMath0847.55004OpenAlexW2044165902MaRDI QIDQ1327323

Wolfgang Lück

Publication date: 15 October 1996

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(94)90011-6

zbMATH Keywords

four-manifoldfibrationBetti numberdeficiencymapping torusgeometric structure\(L^ 2\)

Mathematics Subject Classification ID

Cohomology of groups (20J06) Fundamental group, presentations, free differential calculus (57M05) Homology and cohomology theories in algebraic topology (55N99)

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NEW INVARIANTS FOR GROUPS ⋮ Approximating \(L^ 2\)-invariants by their finite-dimensional analogues ⋮ Homological properties of abstract and profinite modules and groups. ⋮ On \(L^ 2\)-homology and asphericity ⋮ The geography problem for 4-manifolds with specified fundamental group ⋮ Finiteness conditions and \(\text{PD}_{r}\)-group covers of \(\text{PD}_{n}\)-complexes ⋮ Homology growth, hyperbolization, and fibering ⋮ Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups ⋮ \(L^ 2\)-torsion invariants and homology growth of a torus bundle over \(S^ 1\). ⋮ Twisting L2-invariants with finite-dimensional representations ⋮ The Hausmann-Weinberger 4–manifold invariant of abelian groups ⋮ Introduction to \(\ell_2\)-methods in topology: Reduced \(\ell_2\)-homology, harmonic chains, \(\ell_2\)-Betti numbers ⋮ \(L^ 2\)-topological invariants of 3-manifolds ⋮ Von Neumann Betti numbers and Novikov type inequalities ⋮ The minimum \(b_2\) problem for right-angled Artin groups ⋮ Agrarian and $L^2$-invariants

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