Introduction to ℓ²-invariants

DOI10.1007/978-3-030-28297-4zbMath1458.55001OpenAlexW2982433766MaRDI QIDQ5194772

Holger Kammeyer

Publication date: 17 September 2019

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28297-4

zbMATH Keywords

manifoldproper group actioncell complex\(\ell^2\)-invariants

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items (12)

On upper bounds for the first ℓ²-Betti number ⋮ On the top-dimensional \(\ell^2\)-Betti numbers ⋮ L 2 -Betti numbers and computability of reals ⋮ The finite and solvable genus of finitely generated free and surface groups ⋮ Survey on L2‐invariants and 3‐manifolds ⋮ Limit of Bergman kernels on a tower of coverings of compact Kähler manifolds ⋮ Statistics of finite degree covers of torus knot complements ⋮ Higher Kazhdan projections, \(\ell_2\)-Betti numbers and Baum-Connes conjectures ⋮ Profinite invariants of arithmetic groups ⋮ \(S\)-arithmetic spinor groups with the same finite quotients and distinct \(\ell^2\)-cohomology ⋮ Profinite commensurability of $S$-arithmetic groups ⋮ On the profinite rigidity of lattices in higher rank Lie groups

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