Geometric invariants for 3-manifolds

DOI10.1007/BF03024140zbMath0751.57001MaRDI QIDQ1189873

Robert Meyerhoff

Publication date: 27 September 1992

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

volumeeta invarianthomologyhyperbolic 3-manifoldsChern- Simons invariantclassification and recognition of 2-manifoldshyperbolic 2-manifoldsintroduction to the topology and geometry of 2- and 3- dimensional manifolds

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to manifolds and cell complexes (57-01)

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Uses Software

• SnapPea

Cites Work

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• Mutation and the \(\eta\)-invariant
• Volumes of hyperbolic three-manifolds
• The \(\eta\)-invariant of hyperbolic 3-manifolds
• Cutting and pasting and the \(\eta\)-invariant
• On the shape of a curve
• An asymptotic formula for the eta invariants of hyperbolic 3-manifolds
• The Noncompact Hyperbolic 3-Manifold of Minimal Volume
• Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II