Jun
15
Monday, June 21, 2010, 2:00 p.m., in BA 6183, 40 St. George St. PhD Candidate: Brendan McLellan PhD Advisor: Lisa Jeffrey Thesis Title: Non-Abelian Localization and U(1) Chern-Simons Theory Thesis Abstract: This thesis studies U(1) Chern-Simons theory and its relation to the results of Chris Beasley and Edward Witten. Using the partition function formalism, we are lead to compare U(1) Chern-Simons theory as constructed by Manoliu to the results of Beasley and Witten. This leads to an explicit calculation of the U(1) Chern Simons partition function on a closed Sasakian three-manifold and opens the door to studying rigorous extensions of this theory to more general gauge groups and three-manifold geometries. The thesis can be found at http://www.math.utoronto.ca/mclellan/finalthesis.pdf
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