Heegaard genus and property τ for hyperbolic 3-manifolds

DOI10.1112/jtopol/jtm010zbMath1158.57018arXiv0709.0101OpenAlexW2073695984MaRDI QIDQ5451810

Alexander Lubotzky, Alan W. Reid, Darren D. Long

Publication date: 27 March 2008

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0101

zbMATH Keywords

hyperbolic 3-manifoldKleinian groupHeegaard genusproperty \(\tau\)infimal Heegaard gradient

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

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Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). II., On the doubled tetrus, Expansion in perfect groups., Expansion in \(\text{SL}_d(\mathbb Z/q\mathbb Z)\), \(q\) arbitrary., Random walks and expansion in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\)., Rank gradient in co-final towers of certain Kleinian groups, Spectral geometry, link complements and surgery diagrams, Expander graphs in pure and applied mathematics, Profinite rigidity, Kleinian groups, and the cofinite Hopf property

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