Search for dissertations about: "Maslov"
Found 3 swedish dissertations containing the word Maslov.
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1. Local systems and vanishing of Maslov class
Abstract : Let L be a closed exact Lagrangian submanifold in the cotangent bundle T*X of a closed manifold X. We present partial results towards a new proof using Lagrangian intersection Floer theory that the Maslov class of L vanishes... READ MORE
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2. Multi-oriented Symplectic Geometry and the Extension of Path Intersection Indices
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
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3. Arnold-type invariants of curves and wave fronts on surfaces
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