- Sequential motion planning of non-colliding particles in Euclidean spaces
2013/09/17 by Jesús González, Jesus Gonzalez, Gonzalez, Jesus +2 · 3 citations
Computer Science · Engineering · Mathematics · #55M30 #55R80 #55S40 (Primary) #68T40 (Secondary) #Algebraic Topology (math.AT) #Artificial intelligence #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Engineering #Euclidean geometry #Euclidean space #Extension (predicate logic) #FOS: Mathematics #Generalization #Geometric and Algebraic Topology #Geometry #Homotopy and Cohomology in Algebraic Topology #Isotopy #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Motion (physics) #Motion planning #Path (computing) #Pure mathematics #Robot #Robotics #Topological complexity #Topology (electrical circuits) #math.AT #msc:55M30 #msc:55R80 #msc:55S40 #msc:68T40
- Handle moves in contact surgery diagrams
2008/05/21 by Fan Ding, Hansjörg Geiges · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Combinatorics #Computer science #Connective tissue disorders research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Isotopy #Mathematics #Pure mathematics #Space (punctuation) #math.GT #math.SG #msc:53D10 #msc:57M25 #msc:57R17 #msc:57R65
- A New Way to Represent Links. One-Dimensional Formalism and Untangling Technology
2001/12/01 by Ivan Dynnikov, I. A. Dynnikov · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Braid group #Combinatorics #Commutator subgroup #Geometric and Algebraic Topology #Group (periodic table) #Isotopy #Knot (papermaking) #Mathematics #Normal subgroup #Pure mathematics #Topological and Geometric Data Analysis #Unknot
- Finite-type invariants of classical and virtual knots
2000/09/01 by Mikhail Goussarov, Michael Polyak, Oleg Viro · 3 citations
Computer Science · Mathematics · #Equivalence (formal languages) #Finite type invariant #Gauss #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Invariant polynomial #Isotopy #Knot (papermaking) #Knot invariant #Knot theory #Mathematical analysis #Mathematical physics #Mathematics #Physics #Polynomial #Pure mathematics #Quantum invariant #Skein relation #Tricolorability #semigroups and automata theory
- Knots, links, and 4-manifolds
1998/10/16 by Ronald Fintushel, Ronald J. Stern · 1 citation
Mathematics · #Combinatorics #Corollary #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Isotopy #Manifold (fluid mechanics) #Mathematics #Pure mathematics #Torsion (gastropod)
- Geometry of the complex of curves I: Hyperbolicity
1998/04/30 by Howard Masur, Howard A. Masur, Yair N. Minsky · 10 citations
Computer Science · Mathematics · #Context (archaeology) #Curvature #Geometric and Algebraic Topology #Geometry #Homotopy #Hyperbolic space #Intersection (aeronautics) #Isotopy #Mapping class group #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Pure mathematics #Riemann surface #Space (punctuation) #Surface (topology) #Teichmüller space #Topological and Geometric Data Analysis #math.DS #math.GT #msc:30F60 #msc:32G15 #msc:57M07 #msc:57M50
- Markov's theorem in 3-manifolds
1997/07/01 by Sofia Lambropoulou, Colin Rourke, Colin P. Rourke · 1 citation
Mathematics · Medicine · #Braid #Combinatorics #Discrete mathematics #Geometric and Algebraic Topology #Isotopy #Knot (papermaking) #Markov chain #Mathematics #Orthopedic Surgery and Rehabilitation #Pure mathematics
- The Nielsen realization problem
1980/01/01 by Steven P. Kerckhoff · 1 citation
Mathematics · Biochemistry, Genetics and Molecular Biology · #Geometric and Algebraic Topology #Connective tissue disorders research #Homotopy and Cohomology in Algebraic Topology #Isotopy #Mathematics #Pure mathematics #Gaussian curvature #Rigidity (electromagnetism) #Relatively hyperbolic group #Group (periodic table) #Hyperbolic manifold #Surface (topology) #Hyperbolic group #Realization (probability) #Isometry (Riemannian geometry) #Identity (music) #Curvature #Mathematical analysis #Geometry #Hyperbolic function