Search for dissertations about: "finite order invariant"

Showing result 1 - 5 of 22 swedish dissertations containing the words finite order invariant.

  1. 1. Immersions and their self intersections

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Tobias Ekholm; Uppsala universitet.; [1998]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; 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;

    Abstract : 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. READ MORE

  2. 2. Deductive Program Analysis with First-Order Theorem Provers

    University dissertation from Gothenburg : Chalmers tekniska högskola

    Author : Simon Robillard; [2019]
    Keywords : HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Automated theorem proving; Program semantics; Program Verification; Program analysis; Automated reasoning; First-order logic;

    Abstract : Software is ubiquitous in nearly all aspects of human life, including safety-critical activities. It is therefore crucial to analyze programs and provide strong guarantees that they perform as expected. READ MORE

  3. 3. A Study of Smooth Functions and Differential Equations on Fractals

    University dissertation from Uppsala : Matematiska institutionen

    Author : Anders Pelander; Uppsala universitet.; [2007]
    Keywords : Mathematical analysis; Analysis on fractals; p.c.f. fractals; Sierpinski gasket; Laplacian; differential equations on fractals; infinite dimensional i.f.s.; invariant measure; harmonic functions; smooth functions; derivatives; products of random matrices; Matematisk analys;

    Abstract : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. READ MORE

  4. 4. Constructions in higher-dimensional Auslander-Reiten theory

    University dissertation from Uppsala : Department of Mathematics

    Author : Andrea Pasquali; Uppsala universitet.; [2019]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Representation theory; higher-dimensional Auslander-Reiten theory; Postnikov diagram; 2-representation finite algebra; self-injective algebra; quiver with potential; skew group algebra; Mathematics; Matematik;

    Abstract : This thesis consists of an introduction and five research articles about representation theory of algebras.Papers I and II focus on the tensor product of algebras from the point of view of higher-dimensional Auslander-Reiten theory. In Paper I we consider the tensor product Λ of two algebras which are n- respectively m-representation finite. READ MORE

  5. 5. Singular Ginzburg-Landau Vortices

    University dissertation from Mathematics (Faculty of Sciences)

    Author : Mats Aigner; [1998]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; singularities; Ginzburg-Landau; vortices; Matematik;

    Abstract : In this thesis we study the critical Ginzburg-Landau action, defined on fields in the plane which are allowed to have a finite number of singularities. We show that a topological invariant, the degree, can be defined under the assumption of finite action only. READ MORE