Crosscap number of knots and volume bounds
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Publication:5146668
DOI10.1142/S0129167X20501116zbMath1459.57009OpenAlexW3091374378MaRDI QIDQ5146668
Publication date: 26 January 2021
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x20501116
Jones polynomialhyperbolic volumespanning surfacescrosscap number (non-orientable genus)state surface
Related Items (4)
PLUMBING AND COMPUTATION OF CROSSCAP NUMBER ⋮ Crosscap number three alternating knots ⋮ AUTOMATIC COMPUTATION OF CROSSCAP NUMBER OF ALTERNATING KNOTS ⋮ Crosscap number and epimorphisms of two-bridge knot groups
Uses Software
Cites Work
- Unnamed Item
- Triple chords and strong (1, 2) homotopy
- A classification of spanning surfaces for alternating links
- Guts of surfaces and the colored Jones polynomial
- Closed incompressible surfaces in alternating knot and link complements
- The classification of alternating links
- Crosscap numbers and the Jones polynomial
- The reductivity of spherical curves
- A volumish theorem for the Jones polynomial of alternating knots
- Crosscap numbers of pretzel knots
- Incompressible surfaces in 2-bridge knot complements
- A spanning tree expansion of the Jones polynomial
- State models and the Jones polynomial
- Jones polynomials and classical conjectures in knot theory
- Crosscaps and knots
- Crosscap numbers of torus knots.
- Crosscap number of a knot
- When can a link be obtained from another using crossing exchanges and smoothings?
- Crosscap numbers of 2-bridge knots
- Knot Projections
- Raising crosscap number while lowering unknotting number
- Sub-chord diagrams of knot projections
- Lower bounds on volumes of hyperbolic Haken 3-manifolds
- Knot Enumeration Through Flypes and Twisted Splices
- The volume of hyperbolic alternating link complements
- Crosscap number and knot projections
- Constructing crosscap number two surfaces from low-complexity handcuff graphs
- A diagrammatic approach to link invariants of finite degree
- THE HALF-TWISTED SPLICE OPERATION ON REDUCED KNOT PROJECTIONS
- Space of chord diagrams on spherical curves
- A lower bound of crosscap numbers of alternating knots
- ESSENTIAL STATE SURFACES FOR KNOTS AND LINKS
- Jones polynomials, volume and essential knot surfaces: a survey
- The tabulation of prime knot projections with their mirror images up to eight double points
- Crosscap numbers of alternating knots via unknotting splices
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