A calculus for ideal triangulations of three‐manifolds with embedded arcs

DOI10.1002/mana.200310285zbMath1073.57014arXivmath/0301219OpenAlexW3123440237MaRDI QIDQ5463645

Gennaro Amendola

Publication date: 5 August 2005

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301219

zbMATH Keywords

3-manifoldideal triangulationembedded arcs

Mathematics Subject Classification ID

Related Items (5)

Construction and recognition of hyperbolic 3-manifolds with geodesic boundary ⋮ Ideal triangulations of 3‐manifolds up to decorated transit equivalences ⋮ Traversing three-manifold triangulations and spines ⋮ (0,2) dualities and the 4-simplex ⋮ Bounds on Pachner moves and systoles of cusped 3-manifolds

Cites Work

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• P.l. homeomorphic manifolds are equivalent by elementary shellings
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Quantum hyperbolic invariants of 3-manifolds with PSL\((2,\mathbb C)\)-characters
• Classical and quantum dilogarithmic invariants of flat \(\text{PSL}(2,\mathbb C)\)-bundles over 3-manifolds
• Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds
• Construction and recognition of hyperbolic 3-manifolds with geodesic boundary
• An Imbedding Theorem for Connected 3-Manifolds with Boundary

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