\(L^ 2\)-torsion invariants and homology growth of a torus bundle over \(S^ 1\).

DOI10.3792/pjaa.79.76zbMath1057.57015OpenAlexW2028980508MaRDI QIDQ1432827

Takayuki Morifuji, Teruaki Kitano, Mitsuhiko Takasawa

Publication date: 22 June 2004

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116443657

zbMATH Keywords

surface bundles\(L^{2}\)-torsion

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Determinants and determinant bundles, analytic torsion (58J52) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10)

Related Items (1)

A note on the growth of Betti numbers and ranks of 3-manifold groups

Cites Work

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• Mahler measure, links and homology growth
• \(L^ 2\)-analytic torsion
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• \(L^ 2\)-torsion invariants
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• \(L^2\)-torsion of hyperbolic manifolds
• \(L^2\)-torsion of hyperbolic manifolds of finite volume
• \(L^ 2\)-Betti numbers of mapping tori and groups
• Über das Geschlecht von Knoten
• \(L^2\)-torsion invariants of a surface bundle over \(S^1\)
• $L^2$-determinant class and approximation of $L^2$-Betti numbers
• Numerical Calculation of L2-Torsion Invariants

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