# name
An equivariant cohomological approach to Smith theory and its converse

# metadata.dc.description[].value
Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Any: 2026.  Director: Natàlia Castellana Vila

# metadata.dc.description.abstract[].value
The present work is devoted to the study of the topological properties of the fixed point set of a group action. In particular, we will first set the foundational machinery needed to study G-spaces using equivariant cohomology. Then, we will apply this machinery to generalize the classical result of Smith theory that relates the cohomology of a space with the cohomology of the fixed points of a p-group action following a proof by P. May. Finally, we will address the converse problem studied by L.Jones: when can a space be realized as the fixed point set of a semi-free group action on a contractible space.

# metadata.dc.rights[].value
cc by-nc-nd (c) Solaguren Anaut, Mikel, 2026

# metadata.dc.title[].value
An equivariant cohomological approach to Smith theory and its converse