Equivariant Cohomology and Localisation
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Equivariant localisation is based on exploiting certain symmetries of some systems, generally represented by a non-free action of a Lie group on a manifold, to reduce the dimensionality of integral calculations that commonly appear in theoretical physics. In this work we present Cartan's model of equivariant cohomology in different scenarios, such as differential manifolds, symplectic manifolds or vector bundles and we reproduce the main corresponding localisation results.
Place, publisher, year, edition, pages
2015. , 56 p.
Equivariant Cohomology, localisation
IdentifiersURN: urn:nbn:se:uu:diva-251286OAI: oai:DiVA.org:uu-251286DiVA: diva2:805093
Master Programme in Physics
2015-02-27, Oseenska rummet 73121, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 14:54 (English)
Zabzine, Maxim, Prof.