Betti numbers and Euler's formula for combinatorial foliations

DOI10.1007/BF02678191zbMath0876.57042OpenAlexW2000543796MaRDI QIDQ1357577

Gábor Elek

Publication date: 26 November 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156262

zbMATH Keywords

harmonic measurecombinatorial foliationfoliation Betti numberssimplicial curvature

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30)

Related Items

Volume gradients and homology in towers of residually-free groups, Ricci curvature, graphs and eigenvalues

Cites Work

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• Foliations, the ergodic theorem and Brownian motion
• Gauss-Bonnet theorem for 2-dimensional foliations
• Homotopy invariance of foliation Betti numbers
• Foliations with measure preserving holonomy
• De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
• Combinatorial heat kernels and index theorems
• An amenable equivalence relation is generated by a single transformation
• Large Deviations for Heat Kernels on Graphs