Search for dissertations about: "combinatorial knot invariant"
Found 2 swedish dissertations containing the words combinatorial knot invariant.
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1. Invariants of knot diagrams and diagrammatic knot invariants
Abstract : 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. READ MORE
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2. Knots and Surfaces in Real Algebraic and Contact Geometry
Abstract : 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. READ MORE