Sökning: "Tobias Ekholm"

Visar resultat 1 - 5 av 10 avhandlingar innehållade orden Tobias Ekholm.

  1. 1. Immersions and their self intersections

    Författare :Tobias Ekholm; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; Mathematics; Regular homotopy; generic immersion; finite order invariant; Vassiliev invariant; self intersection; diffeotopy; framing; spin structure; pin structure; embedding; Seifert surface; linking; 24; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : Regular homotopy classes of immersions of the k-dimensional sphere Sk into (k + n)-dimensional Euclidean space Rk+n are known to form finitely generated Abelian groups. It is known how to calculate the regular homotopy class of a generic immersion Sk → R2k in terms of its self intersection. LÄS MER

  2. 2. Immersions in the metastable range and spin structures on surfaces

    Författare :Tobias Ekholm; Uppsala universitet; []
    Nyckelord :;

    Sammanfattning : .... LÄS MER

  3. 3. 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

  4. 4. Fiber Floer cohomology and conormal stops

    Författare :Johan Asplund; Tobias Ekholm; Baptiste Chantraine; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : .... LÄS MER

  5. 5. Knots and Surfaces in Real Algebraic and Contact Geometry

    Författare :Johan Björklund; Tobias Ekholm; Grigory Mikhalkin; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; Algebra and geometry; Algebra och geometri; Mathematics; Matematik;

    Sammanfattning : This thesis consists of a summary and three articles. The thesis is devoted to the study of knots and surfaces with additional geometric structures compared to the classical smooth structure. LÄS MER