Algorithmic recognition of 3-manifolds

DOI10.1090/S0273-0979-98-00738-1zbMath0890.57027MaRDI QIDQ4383201

Abigail A. Thompson

Publication date: 24 March 1998

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

zbMATH Keywords

algorithmnormal surfaceHaken manifold

Mathematics Subject Classification ID

Related Items (3)

SEIFERT SURFACES IN KNOT COMPLEMENTS ⋮ NORMAL SURFACES IN THE FIGURE-8 KNOT COMPLEMENT ⋮ The size of triangulations supporting a given link

Cites Work

• Generalized Poincaré's conjecture in dimensions greater than four
• The topology of four-dimensional manifolds
• An algorithm to decide if a 3-manifold is a Haken manifold
• Foliations and the topology of 3-manifolds. II
• Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3- Mannigfaltigkeiten
• Shortening embedded curves
• Thin position and the recognition problem for \(S^ 3\)
• Algorithms for the complete decomposition of a closed \(3\)-manifold
• Thin position and bridge number for knots in the 3-sphere
• Affine structures in 3-manifolds. II: Positional properties of 2-spheres
• SURFACES IN THE FIGURE-8 KNOT COMPLEMENT
• Computing Immersed Normal Surfaces in the Figure-Eight Knot Complement
• Almost normal surfaces in 3-manifolds
• An algorithm for the recognition of 3-spheres (according to Thompson)
• Dehn surgery on knots
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