discipline

 MSC in Mathematics, Pure Mathematics, Elective Course

subject

 Bundles and Connections

lecturers

 Dr. Balázs Csikós (associate professor)

 Dr. Gyula Lakos (teaching assistant)

 Dr. Gábor Moussong (assistant professor)

 Dr. László Verhóczki (associate professor)

credits

 2

period

 2nd semester

curriculum

Topological and smooth fiber bundles. Locally trivial bundles. Exact homotopy sequence. Vector bundles, Principal bundles. Bundles associated to a principle bundle. G-structure, reduction of the structure group. Classifying spaces.

Connections in vector bundles and in principal bundles. Parallel transport. Holonomy group. Parallel transport along small loops. Curvature. Ambrose-Singer theorem. Characteristic Classes. Yang-Mills Theory.

literature

 

form of tuition

Two hours of lecture per week.

mode of assessment

 oral exam