Search for dissertations about: "algebraic topology"

Showing result 1 - 5 of 14 swedish dissertations containing the words algebraic topology.

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

    University dissertation from Växjö : Växjö University Press

    Author : Serge de Gosson de Varennes; Växjö universitet.; [2005]
    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. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations

    University dissertation from Centre for Mathematical Sciences, Lund University

    Author : Hjalmar Rosengren; Lunds universitet.; Lund University.; [1999]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; higher order Hankel form; Wigner symbol; quadratic algebra; Clebsch-Gordan coefficient; quantum group; Lie group; highest weight representation; multivariable orthogonal and biorthogonal polynomials; multivariable hypergeometric and basic hypergeometric functions; algebraisk topologi; Geometry; Geometri; algebraic topology;

    Abstract : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. READ MORE

  3. 3. Geometric Decompositions and Networks - Approximation Bounds and Algorithms

    University dissertation from Department of Computer Science, Lund University

    Author : Joachim Gudmundsson; Lunds universitet.; Lund University.; [2000]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; computer technology; Systems engineering; kontroll; system; Delaunay triangulation; Computational geometry; TSP with neighborhoods; geometric spanners; covering polygons; Computer science; numerical analysis; systems; control; numerisk analys; Datalogi; algebraisk topologi; algebraic topology; Geometry; Data- och systemvetenskap; Geometri;

    Abstract : In this thesis we focus on four problems in computational geometry: In the first four chapters we consider the problem of covering an arbitrary polygon with simpler polygons, i.e., rectangles. READ MORE

  4. 4. Geometric Models of Similarity

    University dissertation from Department of Computer Science, Lund University

    Author : Mikael Johannesson; Lunds universitet.; Lund University.; [2002]
    Keywords : HUMANIORA; HUMANITIES; symmetry; similarity; separable dimensions; prominence; multidimensional scaling; Minkowski metric; machine learning; integral dimensions; familiarity; geometric models; distance metric; asymmetry; conceptual spaces; Computer science; numerical analysis; systems; control; Datalogi; numerisk analys; system; kontroll; Geometry; algebraic topology; Geometri; algebraisk topologi;

    Abstract : Popular Abstract in Swedish Även om vi kanske inte tänker på det så ofta så är vår förmåga att bedöma likhet av stor vikt, inte minst då det gäller begreppsbildning och generalisering. Denna avhandling handlar om likhet, speciellt geometriska modeller av likhet. READ MORE

  5. 5. On the topology of the coamoeba

    University dissertation from Stockholm : Department of Mathematics, Stockholm University

    Author : Petter Johansson; Stockholms universitet.; [2014]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Coamoeba; Ronkin function; matematik; Mathematics;

    Abstract : In this thesis we study the topology and geometry of the coamoeba of an algebraic variety V. The strategy that we use is to relate the coamoebas corresponding to the initial varieties of V to the coamoeba of V. We also define an analogue of the Ronkin function for the coamoeba and give an explicit formula for it.. READ MORE