Kernel functions, analytic torsion and moduli spaces / John D. Fay.

Format:

Book

Author/Creator:

Fay, John D. (John David), author.

Series:

Memoirs of the American Mathematical Society ; Volume 96, Number 464.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 96, Number 464

Language:

English

Subjects (All):

Kernel functions.

Functions, Theta.

Moduli theory.

Physical Description:

1 online resource (137 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island, United States : American Mathematical Society, 1992.

Language Note:

English

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.

Contents:

""Heat equations""""Insertion theorems""; ""Notational Index""; ""References""

Notes:

"March 1992, Volume 96, Number 464 (second of 4 numbers)"--Cover.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-0890-2