Sökning: "Natural Sciences Mathematics Geometry"

Visar resultat 1 - 5 av 203 avhandlingar innehållade orden Natural Sciences Mathematics Geometry.

  1. 1. Admissible transformations and the group classification of Schrödinger equations

    Författare :Celestin Kurujyibwami; Peter Basarab-Horwath; Roman Popovych; Pontelis Damianou; Linköpings universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. LÄS MER

  2. 2. Chekanov-Eliashberg dg-algebras and partially wrapped Floer cohomology

    Författare :Johan Asplund; Tobias Ekholm; Baptiste Chantraine; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Symplectic geometry; Contact geometry; Chekanov-Eliashberg dg-algebra; partially wrapped Floer cohomology; Lagrangian submanifold; Legendrian submanifold; singular Legendrians; based loop space; Mathematics; Matematik;

    Sammanfattning : This thesis consists of an introduction and two research papers in the fields of symplectic and contact geometry. The focus of the thesis is on Floer theory and symplectic field theory. LÄS MER

  3. 3. Topics in Computational Algebraic Geometry and Deformation Quantization

    Författare :Christine Jost; Sandra Di Rocco; Boris Shapiro; Gregory G. Smith; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Segre classes; Chern-Schwartz-MacPherson classes; topological Euler characteristic; computational algebraic geometry; numerical algebraic geometry; numerical homotopy methods; deformation quantization; polyvector fields; Fedosov quantization; Grothendieck-Teichmüller group; Mathematics; matematik;

    Sammanfattning : This thesis consists of two parts, a first part on computations in algebraic geometry, and a second part on deformation quantization. More specifically, it is a collection of four papers. In the papers I, II and III, we present algorithms and an implementation for the computation of degrees of characteristic classes in algebraic geometry. LÄS MER

  4. 4. Speaking of Geometry : A study of geometry textbooks and literature on geometry instruction for elementary and lower secondary levels in Sweden, 1905-1962, with a special focus on professional debates

    Författare :Johan Prytz; Staffan Rodhe; Anders Öberg; Sten Kaijser; Jan van Maanen; Patricio Herbst; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; Mathematics; geometry instruction; mathematics education; Sweden; textbook; curriculum; professional; elementary school; secondary school; history of mathematics education; history of mathematics; history of education; MATEMATIK;

    Sammanfattning : This dissertation deals with geometry instruction in Sweden in the period 1905-1962. The purpose is to investigate textbooks and other literature used by teachers in elementary schools (ES) and lower secondary schools (LSS) – Folkskolan and Realskolan – connection to geometry instruction. LÄS MER

  5. 5. Cohomology of the moduli space of curves of genus three with level two structure

    Författare :Olof Bergvall; Carel Faber; Jonas Bergström; Johannes Nicaise; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Moduli space; Cohomology; Symplectic structure; Point count; Mathematics; matematik;

    Sammanfattning : In this thesis we investigate the moduli space M3[2] of curves of genus 3 equipped with a symplectic level 2 structure. In particular, we are interested in the cohomology of this space. We obtain cohomological information by decomposing M3[2] into a disjoint union of two natural subspaces, Q[2] and H3[2], and then making S7- resp. LÄS MER