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Kernel Functions, Analytic Torsion, and Moduli Spaces






Publisher:  American Mathematical Society
Summary: 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.

Fay, John is the author of Kernel Functions, Analytic Torsion, and Moduli Spaces, published under ISBN 9780821825501 and 082182550X. Ninety nine Kernel Functions, Analytic Torsion, and Moduli Spaces textbooks are available for sale on ValoreBooks.com, or buy new starting at $40.00.
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ISBN-13: 9780821825501

ISBN: 082182550X

Publisher: American Mathematical Society
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