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Differential Geometry Seminar
Symplectically Flat Bundles and Yang-Mills Type of Functionals
Symplectically Flat Bundles and Yang-Mills Type of Functionals
Organizers
Speaker
Time
Tuesday, October 10, 2023 2:30 PM - 3:30 PM
Venue
A6-101
Online
Zoom 435 529 7909
(BIMSA)
Abstract
In analogous to flat bundle and holomorphic bundle, we introduce a special type of vector bundle over symplectic manifolds, which is called symplectically flat. The corresponding connection is called a symplectically flat connection and its curvature is proportional to the symplectic form. Considering that flat connections are the zero points of Yang-Mills functional, we construct two similar functionals vanishing on the symplectically flat connections, then study their critical points. This work is in joint with Li-Sheng Tseng.