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Kernel Functions, Analytic Torsion, and Moduli Spaces
John David Fay
出版American Mathematical Soc., 1992
主題Mathematics / CalculusMathematics / Functional AnalysisMathematics / Complex Analysis
ISBN082182550X9780821825501
URLhttp://books.google.com.hk/books?id=DH_UCQAAQBAJ&hl=&source=gbs_api
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註釋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.