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Equivariant Cohomology and Localisation
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2015 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

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.
Keyword [en]
Equivariant Cohomology, localisation
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-251286OAI: oai:DiVA.org:uu-251286DiVA: diva2:805093
Educational program
Master Programme in Physics
2015-02-27, Oseenska rummet 73121, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 14:54 (English)
Available from: 2015-04-16 Created: 2015-04-14 Last updated: 2015-04-16Bibliographically approved

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