Sökning: "Euler characteristic"

Visar resultat 1 - 5 av 10 avhandlingar innehållade orden Euler characteristic.

1. 1. 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

3. 2. Extremal eigenvalues and geometry of quantum graphs

   Författare :Andrea Serio; Pavel Kurasov; Annemarie Luger; Evans Harrell; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; quantum graphs; spectral estimates; trace formula; Euler characteristic; Mathematics; matematik;

   Sammanfattning : This thesis consists of four papers concerning topics in the spectral theory of quantum graphs, which are differential operators on metric graphs.In paper I we present a family of graphs with an arbitrary number of cycles for which a certain eigenvalue upper estimate is sharp. LÄS MER

4. 3. 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

5. 4. Some computations of compact support cohomology of configuration spaces

   Författare :Louis Hainaut; Dan Petersen; Ben Knudsen; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

   Sammanfattning : This licentiate thesis consists of two papers related to configuration spaces of points.In paper I a general formula for the Euler characteristic of configuration spaces on any topologically stratified space X is obtained in terms of geometric and combinatorial data about the strata. LÄS MER

7. 5. Khovanov Homology and Link Cobordisms

   Författare :Magnus Jacobsson; Oleg Viro; Jan-Erik Roos; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Khovanov homology; Jones polynomial; Link cobordisms; Algebra och geometri; Algebra and geometry; Algebra och geometri;

   Sammanfattning : Khovanov homology associates to any link in three-dimensional space a bigraded chain complex of Z[c]-modules, whose graded Euler characteristic (after normalization) is the Jones polynomial of the link. The complex is invariant up to homotopy equivalence under ambient isotopy of the link. LÄS MER