Sökning: "Euler characteristic"
Visar resultat 1 - 5 av 10 avhandlingar innehållade orden Euler characteristic.
1. Simplicial Complexes of Graphs
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
2. Extremal eigenvalues and geometry of quantum graphs
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
3. Topics in Computational Algebraic Geometry and Deformation Quantization
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. Some computations of compact support cohomology of configuration spaces
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
5. Khovanov Homology and Link Cobordisms
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