Sökning: "Rational homotopy theory"
Hittade 5 avhandlingar innehållade orden Rational homotopy theory.
1. Formality and homotopy automorphisms in rational homotopy theory
Sammanfattning : This licentiate thesis consists of two papers treating subjects in rational homotopy theory.In Paper I, we establish two formality conditions in characteristic zero. We prove that adg Lie algebra is formal if and only if its universal enveloping algebra is formal. LÄS MER
2. 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
3. Hopf Invariants in Real and Rational Homotopy Theory
Sammanfattning : In this thesis we use the theory of algebraic operads to define a complete invariant of real and rational homotopy classes of maps of topological spaces and manifolds. More precisely let f,g : M -> N be two smooth maps between manifolds M and N. LÄS MER
4. Stable phenomena for some automorphism groups in topology
Sammanfattning : This licentiate thesis consists of two papers about topics related to representation stability for different automorphisms groups of topological spaces and manifolds.In Paper I, we study the rational homology groups of \textit{Torelli groups} of smooth, compact and orientable surfaces. LÄS MER
5. Modeling and Model Reduction by Analytic Interpolation and Optimization
Sammanfattning : This thesis consists of six papers. The main topic of all these papers is modeling a class of linear time-invariant systems. The system class is parameterized in the context of interpolation theory with a degree constraint. LÄS MER