MATH 519: Differentiable Manifolds II

MATH University of Illinois at Urbana-Champaign 4.0 credits

Course Description

Vector bundles, principal bundles, connections, parallel transport, curvature, Chern-Weyl theory, Hodge-DeRham theory. Other topics may include Riemannian geometry, symplectic geometry, spin geometry, and harmonic maps. Prerequisite: MATH 518 or consent of instructor.

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