Search for dissertations about: "homotopy groups of the space of curves on a surface"

Found 1 swedish dissertation containing the words homotopy groups of the space of curves on a surface.

2. 1. 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