Introduction to ℓ2-methods in topology: Reduced ℓ2-homology, harmonic chains, ℓ2-betti numbers

By B. Eckmann. 2000

83 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a065321c2c9f755415e2efded973104e4487b38e

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In Computational Theory and Mathematics

1. B. Okun
2. Michael W. Davis
3. Russell Lyons

In Geometry and Topology

1. Michael W. Davis
2. B. Okun
3. Russell Lyons

In Mathematical Physics

1. Michael W. Davis
2. B. Okun
3. Russell Lyons
4. Alexei Borodin
5. Subhro Ghosh
6. Charles Bordenave
7. Pietro Caputo
8. Asaf Nachmias

Citations in the corpus

• The Geometry and Topology of Coxeter Groups (2025, background): “In the case when the action is proper and cocompact a simple proof of this theorem appears in [113].”
• Random Complexes and l^2-Betti Numbers (2008, background): “For more information about ℓ2-homology, see Eckmann (2000).”
• Vanishing theorems and conjectures for the, $\ell ^2$--homology of right-angled Coxeter groups (2001, background): “er characteristic of G, χ(G), in the sense of [39]. 2 ℓ2–homology We review some basic facts about the ℓ2–homology of geometric G–complexes. References for this material include [12], [20], [28], and [23] (which is particularly easy to read). 2.1 Square summable functions Suppose G isa countable dis”