Quasifuchsian state surfaces

DOI10.1090/S0002-9947-2014-06182-5zbMath1350.57019arXiv1209.5719MaRDI QIDQ3190420

Efstratia Kalfagianni, Jessica S. Purcell, David Futer

Publication date: 17 September 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5719

Mathematics Subject Classification ID

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

Related Items

A classification of spanning surfaces for alternating links, State graphs and fibered state surfaces, Volume and geometry of homogeneously adequate knots, Crosscap numbers and the Jones polynomial, An alternative approach to hyperbolic structures on link complements, On the degree of the colored Jones polynomial, An application of non-positively curved cubings of alternating links, A Jones slopes characterization of adequate knots, Geometry of alternating links on surfaces, Stability properties of the colored Jones polynomial, Alternating links with totally geodesic checkerboard surfaces, Crosscap numbers of alternating knots via unknotting splices

Uses Software

• KnotInfo

Cites Work

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• Fiber detection for state surfaces
• Guts of surfaces and the colored Jones polynomial
• Exact volume of hyperbolic 2-bridge links
• Closed quasi-Fuchsian surfaces in hyperbolic knot complements
• State models and the Jones polynomial
• On the Kauffman polynomial of an adequate link
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Quasi-Fuchsian Seifert surfaces
• Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3- Mannigfaltigkeiten
• Some links with non-trivial polynomials and their crossing-numbers
• Tubed incompressible surfaces in knot and link complements
• Hyperbolic knots spanning accidental Seifert surfaces of arbitrarily high genus
• Some surface subgroups survive surgery
• An alternative approach to hyperbolic structures on link complements
• Noncompact Fuchsian and quasi-Fuchsian surfaces in hyperbolic 3-manifolds
• The Jones polynomial and graphs on surfaces
• Subgroup separability of the figure 8 knot group.
• Incompressible surfaces in link complements
• From Goeritz Matrices to Quasi-alternating Links
• The volume of hyperbolic alternating link complements
• Closed incompressible surfaces in knot complements
• Homogeneous Links
• Knot signature functions are independent
• ESSENTIAL STATE SURFACES FOR KNOTS AND LINKS
• On the head and the tail of the colored Jones polynomial
• Jones polynomials, volume and essential knot surfaces: a survey