Sökning: "Alexander berglund"
Visar resultat 1 - 5 av 14 avhandlingar innehållade orden Alexander berglund.
1. Poincaré series and homotopy Lie algebras of monomial rings
Sammanfattning : .... LÄS MER
2. Minimal models in algebra, combinatorics and topology
Sammanfattning : The thesis consists of seven papers.In Paper I, II, III, IV and V, we study homological invariants of monomial rings — rings of the form R = k[x1, . . . LÄS MER
3. Formality and rational homotopy theory of relative homotopy automorphisms
Sammanfattning : This PhD thesis consists of four papers treating topics in rational homotopy theory.In Paper I, we establish two formality conditions in characteristic zero. We prove that a dg Lie algebra is formal if and only if its universal enveloping algebra is formal. LÄS MER
4. BV-algebras in topology and homotopy algebra
Sammanfattning : This Licentiate thesis consists of two papers. The first paper is called A-infinity-algebras derived from associative algebras with a non-derivation differential. The second paper is joint work with A. Berglund and is called Free loop space homology of highly connected manifolds. LÄS MER
5. Compactified Configuration Space of Points on a Line and Homotopies of A_ infty Morphisms
Sammanfattning : In this thesis we construct a configuration space model for a particular 2-colored dg operad encoding the structure of two A_infty algebras with two A_infty morphism and a homotopy between the morphisms. We determine the cohomology of this operad to be the well-known 2-colored operad encoding the structure of a two associative algebras and an associative algebra morphism between them. LÄS MER