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
大学図書館所蔵 全21件
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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