Efficient cycles of hyperbolic manifolds

DOI10.2140/PJM.2024.332.115MaRDI QIDQ6644088

Bruno Martelli, R. Frigerio, Ennio Grammatica

Publication date: 27 November 2024

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

complexitymeasure homologysimplicial volumeGieseking manifoldstable complexityGieseking-like manifold

Mathematics Subject Classification ID

Algebraic topology of manifolds (57N65) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Hyperbolic 3-manifolds (57K32)

Cites Work

• Inflations of ideal triangulations
• Simplicial volume and fillings of hyperbolic manifolds
• Complexity theory of three-dimensional manifolds
• Volume and bounded cohomology
• Efficient fundamental cycles of cusped hyperbolic manifolds.
• The spectrum of simplicial volume
• Abelian subgroup separability of Haken 3-manifolds and closed hyperbolic \(n\)-orbifolds
• Geodesic ideal triangulations exist virtually
• The simplicial volume of closed manifolds covered by ℍ²× ℍ²
• Chains that realize the Gromov invariant of hyperbolic manifolds
• Bounded Cohomology of Discrete Groups
• Pseudomodular surfaces
• Stable complexity and simplicial volume of manifolds
• The simplicial volume of 3-manifolds with boundary
• Simplicial volume of compact manifolds with amenable boundary
• Algorithmic topology and classification of 3-manifolds

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