Geometry Seminar


Determinants of Laplacians and

Bosonization Formulas


Professor Richard Wentworth

Johns Hopkins University, USA;
IMR Visiting Fellow, HKU





The bosonization formulas on Riemann surfaces relate zeta-regularized determinants of Laplace operators acting on sections of line bundles and on scalars.  They play an important role in conformal field theory and perturbative string theory.  Proofs of these identities in the mathematical literature generally proceed by computing either first or second variations of certain combinations of Green's and theta functions with respect to the Riemann moduli.  As a consequence, all current formulations leave undetermined constants of integration, depending only on the genus  and the spin, which must be evaluated by other means.  In this talk, we will show how to determine these constants precisely via degeneration arguments.



July 20, 2006 (Thursday)


3:00 – 4:00pm


Room 517, Meng Wah Complex, HKU




All are welcome