Alternating links with totally geodesic checkerboard surfaces

DOI10.2140/agt.2021.21.3107OpenAlexW3217004841MaRDI QIDQ2059711

Hong-Chuan Gan

Publication date: 14 December 2021

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07904

zbMATH Keywords

hyperbolic geometrytotally geodesic surfacealternating linkright-angled polyhedron

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Knot theory (57K10)

Related Items (2)

Right-angled polyhedra and alternating links ⋮ Infinitely many arithmetic alternating links: Class number greater than one

Cites Work

• Closed incompressible surfaces in alternating knot and link complements
• The classification of alternating links
• Volume bounds for weaving knots
• Euclidean structures on simplicial surfaces and hyperbolic volume
• An alternative approach to hyperbolic structures on link complements
• Noncompact Fuchsian and quasi-Fuchsian surfaces in hyperbolic 3-manifolds
• Totally geodesic Seifert surfaces in hyperbolic knot and link complements. I
• Strong rigidity of Q-rank 1 lattices
• Polyhedra representation of link complements
• Quasifuchsian state surfaces
• Hyperbolic Structures of Arithmetic Type on Some Link Complements
• ON ARCHIMEDEAN LINK COMPLEMENTS
• Geometry of biperiodic alternating links
• Hyperbolic Knot Theory
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Cusp size bounds from singular surfaces in hyperbolic 3-manifolds

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