Download or read book Kernel Functions, Analytic Torsion, and Moduli Spaces written by John David Fay and published by American Mathematical Soc.. This book was released on 1992 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir is a study of Ray-Singer analytic torsion for hermitian vector bundles on a compact Riemann surface [italic]C. The torsion is expressed through the trace of a modified resolvent. Thus, one can develop perturbation-curvature formulae for the Green-Szegö kernel and also for the torsion in terms of the Ahlfors-Bers complex structure of the Teichmuller space and Mumford complex structure of the moduli space of stable bundles of degree zero on [italic]C.