## Departmental PhD Thesis Exam – Brendan McLellan

Monday, June 21, 2010, 2:00 p.m., in BA 6183, 40 St. George St.

PhD Candidate:  Brendan McLellan

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