Compressing totally geodesic surfaces

DOI10.1016/S0166-8641(01)00029-3zbMath0998.57039arXivmath/0011113WikidataQ125853802 ScholiaQ125853802MaRDI QIDQ5957284

Christopher J. Leininger

Publication date: 24 July 2002

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0011113

zbMATH Keywords

surgeryDehn fillingarithmetic manifoldsimmersed surfaces

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50)

Related Items (5)

Counting cusps of subgroups of $\mathrm {PSL}_2(\mathcal {O}_K)$ ⋮ Totally geodesic surfaces with arbitrarily many compressions ⋮ One-cusped congruence subgroups of Bianchi groups ⋮ TOTALLY GEODESIC SURFACES AND QUADRATIC FORMS ⋮ Depth of pleated surfaces in toroidal cusps of hyperbolic 3-manifolds

Cites Work

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• Incompressibility of surfaces in surgered 3-manifolds
• Lectures on hyperbolic geometry
• Surface groups in some surgered manifolds
• The geometry of finitely generated Kleinian groups
• Totally geodesic surfaces in hyperbolic 3-manifolds
• Subgroups of Bianchi Groups and Arithmetic Quotients of Hyperbolic 3-Space
• A quadratic parabolic group
• Parametrizing Fuchsian Subgroups of the Bianchi Groups
• Dehn surgery on knots

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