Kernel Functions, Analytic Torsion, and Moduli Spaces - Couverture souple

American Mathematical Society

 
9780821825501: Kernel Functions, Analytic Torsion, and Moduli Spaces

Synopsis

This work investigates ytic 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 ytic 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.

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