Sökning: "topological Euler characteristic"

Hittade 3 avhandlingar innehållade orden topological Euler characteristic.

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

    Författare :Christine Jost; Sandra Di Rocco; Boris Shapiro; Gregory G. Smith; Stockholms universitet; []
    Nyckelord :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

  3. 2. Simplicial Complexes of Graphs

    Författare :Jakob Jonsson; Anders Björner; John Shareshian; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; simplicial complex; monotone graph property; discrete Morse theory; simplicial homology; homotopy type; connectivity degree; Cohen-Macaulay complex; Euler characteristic; decision tree; Algebra och geometri; Algebra and geometry; Algebra och geometri;

    Sammanfattning : Let G be a finite graph with vertex set V and edge set E. A graph complex on G is an abstract simplicial complex consisting of subsets of E. In particular, we may interpret such a complex as a family of subgraphs of G. LÄS MER

  4. 3. Topics in projective algebraic optimization

    Författare :Lukas Gustafsson; Sandra Di Rocco; Kathlén Kohn; Cordian Riener; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis explores optimization challenges within algebraic statistics, employing both topological and geometrical methodologies to derive new insights. The main focus is the optimization degree of nearest point and Gaussian maximum likelihood estimation problems with algebraic constraints. LÄS MER