Kernel functions, analytic torsion and moduli spaces
著者
書誌事項
Kernel functions, analytic torsion and moduli spaces
（Memoirs of the American Mathematical Society, no. 464）
American Mathematical Society, 1992
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注記
"March 1992, volume 96, number 464 (second of 4 numbers)" -- T.p
Includes bibliographical references (p. 121-123) and index
内容説明・目次
内容説明
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.
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