Author : John D. Fay
Publisher : American Mathematical Soc.
ISBN 13 : 082182550X
Total Pages : 123 pages
Book Rating : 4.01/5 ( download)
Book Synopsis Kernel Functions, Analytic Torsion, and Moduli Spaces by : John D. Fay
Download or read book Kernel Functions, Analytic Torsion, and Moduli Spaces written by John D. Fay and published by American Mathematical Soc.. This book was released on 1992 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work investigates analytic torsion on the moduli space of degree zero stable bundles on a compact Reimann surface. Zeta-function regularization and perturbation-curvature formulas for torsion are developed using a modified resolvent-Szego kernel. The author discusses the bosonization formulas of mathematical physics. Riemann vanishing theorems for torsion, and analytic properties (insertion-residue formulas and heat equations) for the nonabelian theta function and Szego kernel. In addition, he provides background material on bundle-moduli spaces, Quillen metrics, and theta functions.