University of Toronto's Symplectic Geometry Seminar

March 3, 2008, 2:10pm
Bahen 6183

Derek Krepski

University of Toronto

Obstruction to Pre-quantization


For a simply connected, compact, simple Lie group G, the moduli space of flat G-bundles over a closed surface is known to be pre-quantizable at integer levels. For non-simply connected G, however, integrality of the level is not sufficient. The obstruction is a certain cohomology class in H^3(G^2; Z), which can be computed expicitly for every compact simple Lie group G.