Search results for "Linking number"

showing 4 items of 4 documents

Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan

1992

Let f be an orientation-preserving homeomorphism of the plane such that f-Id is contracting. Under these hypotheses, we establish the existence, for every periodic orbit, of a fixed point which has nonzero linking number with this periodic orbit.

55M20 54H20Surfaces homeomorphismsPlane (geometry)Applied MathematicsGeneral Mathematics010102 general mathematics[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Linking numberFixed pointLinking numbers01 natural sciencesHomeomorphism010101 applied mathematicsCombinatoricssymbols.namesakesymbolsPeriodic orbitsPeriodic orbitsAstrophysics::Earth and Planetary AstrophysicsMathematics - Dynamical Systems0101 mathematicsMSC : 55M20 54H20Mathematics
researchProduct

The HOMFLY-PT polynomials of sublinks and the Yokonuma–Hecke algebras

2016

We describe completely the link invariants constructed using Markov traces on the Yokonuma-Hecke algebras in terms of the linking matrix and the HOMFLYPT polynomials of sublinks.

MSC: Primary 57M27: Invariants of knots and 3-manifolds Secondary 20C08: Hecke algebras and their representations 20F36: Braid groups; Artin groups 57M25: Knots and links in $S^3$Pure mathematicsMarkov chainGeneral Mathematics010102 general mathematicsYokonuma-Hecke algebrasGeometric Topology (math.GT)Linking numbers01 natural sciencesMathematics::Geometric TopologyMatrix (mathematics)Mathematics - Geometric TopologyMarkov tracesMathematics::Quantum Algebra[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]0103 physical sciencesMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)010307 mathematical physics0101 mathematicsRepresentation Theory (math.RT)Link (knot theory)Mathematics - Representation TheoryMathematics
researchProduct

Differential Geometry of Curves and Surfaces

2001

The goal of this article is to present the relation between some differential formulas, like the Gauss integral for a link, or the integral of the Gaussian curvature on a surface, and topological invariants like the linking number or the Euler characteristic.

PhysicsSurface (mathematics)symbols.namesakeFrenet–Serret formulasGaussian integralMathematical analysisGaussian curvaturesymbolsConstant-mean-curvature surfaceDifferential geometry of curvesLinking numberDifferential (mathematics)
researchProduct

A new approach to interacting fields

1974

A model for a description of interaction, which involves particle creation, can be given as follows: (1) A smooth finite-dimensional manifoldM constitutes the configuration space of some interacting system. (2) The concept of an interacting field is formulated in terms of two-component objects which consist of a physical and a topological field component which are ‘derived’ fromM. (3) Interaction is described in terms of the topological linking number of the topological field components and in terms of the intrinsic field equations.

Physicssymbols.namesakeClassical mechanicsPhysics and Astronomy (miscellaneous)Field (physics)Component (thermodynamics)General MathematicssymbolsLinking numberConfiguration spaceField equationTopological quantum numberInternational Journal of Theoretical Physics
researchProduct