Spring 2014, MWF 10-11, Science Center 216
My name: Andrew Cotton-Clay (please call me Andy)
Office: Science Center 527
Office Hours: To be determined
E-mail: acotton at math
Syllabus: To appear
Course iSite: Math 230b iSite
To appear.
To appear.
Note: References are as in the syllabus.
Mon 1/27: Introductory discussion of sympletic geometry course.
Hamiltonian mechanics, phase space, Hamiltonian vector field on R^2n via J
and gradient, and via symplectic form. General symplectic manifolds and
Hamiltonian vector fields.
Wed 1/29: Introductory discussion of analysis on manifolds course.
Principal bundles. Associated vector bundles. Sections as G-equivariant
maps P to V. First definition of connection as a G-equivariant choice of
horizontal tangent spaces on P.