Sökning: "polyvector fields"

Hittade 4 avhandlingar innehållade orden polyvector fields.

1. 1. Universal algebraic structures on polyvector fields

   Författare :Johan Alm; Sergei Merkulov; Anton Alekseev; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

   Sammanfattning : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. LÄS MER

3. 2. 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

4. 3. Yang-Mills Theory in Gauge-Invariant Variables and Geometric Formulation of Quantum Field Theories

   Författare :Sergey Slizovskiy; Antti Niemi; Andrey Losev; Andrey Marshakov; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Yang-Mills theory; spin-charge separation; Kaluza-Klein theory; branes; curved beta-gamma systems; Mathematical physics; Matematisk fysik; Theoretical Physics; Teoretisk fysik;

   Sammanfattning : In Part I we are dealing with effective description of Yang-Mills theories based on gauge-invarint variables. For pure Yang-Mills we study the spin-charge separation varibles. The dynamics in these variables resembles the Skyrme-Faddeev model. LÄS MER

5. 4. Configuration spaces, props and wheel-free deformation quantization

   Författare :Theo Backman; Sergei Merkulov; Sergei Shadrin; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; operad; properad; prop; deformation quantization; configuration space; Lie bialgebra; Poisson manifold; Mathematics; matematik;

   Sammanfattning : The main theme of this thesis is higher algebraic structures that come from operads and props.The first chapter is an introduction to the mathematical framework needed for the content of this thesis. The chapter does not contain any new results. LÄS MER