- Ordered groups and topology
2015/11/16 by Adam Clay, Clay, Adam, Dale Rolfsen +1 · 9 citations
Mathematics · #20-02 #20F60 #57-02 #57M07 #Algebraic number #Betti number #Braid group #Braid theory #Combinatorics #FOS: Mathematics #Floer homology #Fundamental group #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group (periodic table) #Group Theory (math.GR) #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Knot (papermaking) #Mathematical Dynamics and Fractals #Mathematics #Pure mathematics #Singular homology #Topology (electrical circuits) #math.GR #math.GT #msc:20-02 #msc:20F60 #msc:57-02 #msc:57M07
- Braid Floer homology
2015/04/15 by Jan Bouwe van den Berg, Robert Ghrist, van der Vorst, R.C.A.M. +2 · 1 citation
Mathematics · #Algebra over a field #Braid #Braid group #Braid theory #Cellular homology #Floer homology #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #Mathematics #Morse homology #Pure mathematics #Relative homology #Symplectic geometry
- Braid is undecidable
2014/12/02 by Linus Hamilton, Hamilton, Linus · 2 voices
Computer Science · Mathematics · #Algorithm #Artificial Intelligence in Games #Artificial intelligence #Braid #Braid group #Braid theory #Cellular Automata and Applications #Combinatorics #Computability, Logic, AI Algorithms #Computation #Computer science #DTIME #Description number #Discrete mathematics #EXPTIME #Embedding #Mathematics #NSPACE #Super-recursive algorithm #Theoretical computer science #Time hierarchy theorem #Turing machine #Undecidable problem #Universal Turing machine #cs.CC
- Orbifold Riemann surfaces and geodesic algebras
2009/07/14 by L. O. Chekhov, L O Chekhov · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Braid group #Geodesic #Geometric and Algebraic Topology #Geometric function theory #Graph #Homotopy and Cohomology in Algebraic Topology #Orbifold #Quantum #Riemann hypothesis #Riemann surface #math-ph #math.MP #msc:53D30 #msc:81S10
- Unprovability results involving braids
2007/11/23 by Lorenzo Carlucci, Patrick Dehornoy, Andreas Weiermann · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Braid #Braid group #Braid theory #Computer science #Construct (python library) #Geometric and Algebraic Topology #Mathematical analysis #Mathematics #Order (exchange) #Programming language #Pure mathematics #Simple (philosophy) #math.LO #msc:03B30 #msc:03F35 #msc:20F36 #msc:91A50
- An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids
2007/11/19 by Eiko Kin, Kin, Eiko, Mitsuhiko Takasawa +1 · 1 citation
Mathematics · #37E30 #57M27 (Primary) 57M50 (Secondary) #Advanced Combinatorial Mathematics #Braid #Braid group #Braid theory #Conjugacy class #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry #Invariant (physics) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Pure mathematics #Torus #math.DS #math.GT #msc:37E30 #msc:57M27 #msc:57M50
- Virtual Knot Invariants from Group Biquandles and Their Cocycles
2007/03/20 by J. Scott Carter, Carter, J. Scott, Mohamed Elhamdadi +7 · 2 citations
Computer Science · Engineering · Mathematics · #57M25 #Advanced Combinatorial Mathematics #Braid #Braid group #Braid theory #Checkerboard #Combinatorics #Engineering #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry #Group (periodic table) #Knot (papermaking) #Knot invariant #Knot theory #Mathematics #Physics #Pure mathematics #Quantum Algebra (math.QA) #Tricolorability #Unknot #math.GT #math.QA #msc:57M25 #semigroups and automata theory
- Busemann points of infinite graphs
2006/04/11 by Corran Webster, Adam Winchester · 4 citations
Mathematics · #Advanced Operator Algebra Research #Boundary (topology) #Braid group #Cayley graph #Combinatorics #Discrete mathematics #Geodesic #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Graph #Heisenberg group #Limit (mathematics) #Limit set #Mathematical analysis #Mathematics #Metric (unit) #Point (geometry) #Pure mathematics
- THE MAPPING CLASS GROUP OF A DISK WITH INFINITELY MANY HOLES
2006/01/01 by Paul Fabel · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Boundary (topology) #Braid #Braid group #Class (philosophy) #Combinatorics #Computer science #Geometric and Algebraic Topology #Geometry #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mapping class group #Mathematical analysis #Mathematics #Metrization theorem #Physics #Pure mathematics #Sequence (biology) #Surface (topology) #Unit disk
- COMPLETING ARTIN'S BRAID GROUP ON INFINITELY MANY STRANDS
2005/12/01 by Paul Fabel · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Artin group #Braid #Braid group #Braid theory #Combinatorics #Coxeter group #Discrete mathematics #Fundamental group #Generalization #Geometric and Algebraic Topology #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Order (exchange) #Pure mathematics
- Configurations, braids, and homotopy groups
2005/11/18 by A. J. Berrick, Fred Cohen, Yan Loi Wong +1 · 2 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Algebraic structures and combinatorial models #Mathematics #Braid #Homotopy group #Braid group #Braid theory #Pure mathematics #Homotopy #Homotopy sphere #Homotopy lifting property #Bott periodicity theorem #Algebra over a field #Topology (electrical circuits) #Combinatorics
- New R-matrices from representations of braid-monoid algebras based on superalgebras
2005/09/06 by W. Galleas, W. Galléas, M.J. Martins +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Braid #Braid group #Combinatorics #Context (archaeology) #Homogeneous space #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum #Quantum algebra #Quantum mechanics #R-matrix #Trigonometry #Yang–Baxter equation #nlin.SI
- Representations of the quantum Teichmüller space and invariants of surface diffeomorphisms
2004/07/31 by Francis Bonahon, Xiaobo Liu · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Braid group #Connection (principal bundle) #Geometric and Algebraic Topology #Geometry #Group (periodic table) #Homomorphism #Ideal (ethics) #Mapping class group #Mathematical analysis #Mathematics #Polynomial #Pure mathematics #Space (punctuation) #Surface (topology) #Teichmüller space #math.GT #math.QA #msc:20G42 #msc:57M50 #msc:57R56
- Non-Abelian braid statistics versus projective permutation statistics
2002/01/31 by N. Read · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Braid #Braid group #Braid theory #Permutation (music) #Permutation graph #Permutation group #Projective plane #Projective space #Projective test #Random Matrices and Applications #Representation (politics) #cond-mat.mes-hall #hep-th #quant-ph
- 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
- Groups as Galois Groups
1996/08/13 by Helmut Völklein · 2 citations
Mathematics · #History and Theory of Mathematics #Algebraic Geometry and Number Theory #Galois theory #Mathematics #Fundamental theorem of Galois theory #Galois group #Braid group #Group (periodic table) #Algebra over a field #Galois extension #Riemann surface #Group theory #Galois module #Embedding problem #Pure mathematics #Group action #Abstract algebra #Riemann–Hurwitz formula #Geometric function theory
- The braid monodromy of plane algebraic curves and hyperplane arrangements
1996/08/02 by Daniel C. Cohen, Alexander I. Suciu · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic Geometry and Number Theory #Braid #Braid group #Braid theory #Combinatorics #Complement (music) #Fundamental group #Geometric and Algebraic Topology #Homomorphism #Hyperplane #Mathematics #Monodromy #Pure mathematics #alg-geom #math.AG #msc:05B35 #msc:14H30 #msc:20F36 #msc:32S25 #msc:52B30 #msc:57M05
- Multi-colour braid-monoid algebras
1993/03/30 by Uwe Grimm, Paul A. Pearce · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic number #Algebraic structure #Algebraic structures and combinatorial models #Braid #Braid group #Braid theory #Free monoid #Lattice (music) #Mathematics #Monoid #Nonlinear Waves and Solitons #Physics #Pure mathematics #hep-th #math.QA
- The Braid Groups.
1962/06/01 by Ralph H. Fox, R. Fox, Lee Paul Neuwirth +1 · 1 citation
Mathematics · #Braid #Braid group #Finite Group Theory Research #Geography #Geometric and Algebraic Topology #Mathematics #Mathematics and Applications #Pure mathematics