Abstract
Let X be a four-manifold with boundary three-manifold M. We shall describe (i) a pre-symplectic structure on the space A(X) of connections on the bundle X×SU(n) that comes from the canonical symplectic structure on the cotangent space T⁎A(X), and (ii) a pre-symplectic structure on the space A0♭(M) of flat connections on M×SU(n) that have null charge. These two structures are related by the boundary restriction map. We discuss also the Hamiltonian features of the space of connections A(X) together with the action of the group of gauge transformations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
