Sökning: "combinatorial knot invariant"

Hittade 2 avhandlingar innehållade orden combinatorial knot invariant.

  1. 1. Invariants of knot diagrams and diagrammatic knot invariants

    Författare :Olof-Petter Östlund; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Knot theory; knot diagram; plane curve; Reidemeister move; finite degree invariant; combinatorial knot invariant; Gauss diagram; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : Two knot diagrams describe isotopic knots if and only if they can be connected by a sequence of planar isotopies and Reidemeister moves (cusp-, self-tangency-, and triple point moves). In this dissertation classes of knot diagrams, Reidemeister moves, and relations between sequences of Reidemeister moves are investigated, in a manner inspired by V. LÄS MER

  2. 2. Knots and Surfaces in Real Algebraic and Contact Geometry

    Författare :Johan Björklund; Tobias Ekholm; Grigory Mikhalkin; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Algebra och geometri; Mathematics; Matematik;

    Sammanfattning : This thesis consists of a summary and three articles. The thesis is devoted to the study of knots and surfaces with additional geometric structures compared to the classical smooth structure. LÄS MER