Search for dissertations about: "Maslov index"

Found 2 swedish dissertations containing the words Maslov index.

  1. 1. Multi-oriented Symplectic Geometry and the Extension of Path Intersection Indices

    Author : Serge de Gosson de Varennes; Andrei Khrennikov; Ernst Binz; Växjö universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Symplectic geometry; algebraic topology; mathematical physics; Maslov index; Conley-Zehnder index; Leray index path intersection indices.; MATHEMATICS; MATEMATIK;

    Abstract : Symplectic geometry can be traced back to Lagrange and his work on celestial mechanics and has since then been a very active field in mathematics, partly because of the applications it offers but also because of the beauty of the objects it deals with.I this thesis we begin by the simplest fact of symplectic geometry. READ MORE

  2. 2. Arnold-type invariants of curves and wave fronts on surfaces

    Author : Vladimir Tchernov; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Immersion of the circle; generic immersion; curves on surfaces; Legendrian immersion; Legendrian knot; wave fronts on surfaces; Whitney index; Maslov index; regular homotopy; perestroikas of plane curves and fronts; Arnold s basic invariants of plane curves and fronts; finite order invariants; Vassiliev invariants; homotopy groups of the space of curves on a surface; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : This thesis is devoted to the study of invariants of generic curves and wave fronts on surfaces. The invariants J± and St were axiomatically defined by Arnold as numerical characteristics of generic curves (immersions of the circle)on ℝ2 he introduced J± in the case of generic planar wave fronts. READ MORE