Résumé: We will start by giving an outline of the fundamentals ofsupergeometry and Q-manifolds. Then, we will give local descriptionof the Atiyah sequence of a principal bundle. We will constructlocal charts for the manifolds involved and write the expressions explicitly in local form. The Atiyah sequence encodes the different notions in connection theory in a compact way. For example a section of the Atiyah algebroid will give a connection in the principal bundle and curvature will be the failure of this section to be a Lie algebroid morphism.We will describe the Lie brackets for the Atiyah algebroid

Edition: Manchester: University of Manchester
Langue: Anglais
Collation: 69 p. ;30 cm
Diplôme: Doctorat d'état
Etablissement de soutenance: University of Manchester

Note: Binliogr. pp.67-69