Kernel functions, analytic torsion and moduli spaces

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 o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Fay, John D. (John David)
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, R.I American Mathematical Society 1992
Ausgabe:1
Schriftenreihe:Memoirs of the American Mathematical Society
Schlagworte:
Functions, Theta
Kernel functions
Moduli theory
ISBN:9780821825501, 082182550X
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Inhaltsangabe:
  • Intro -- Table of Contents -- Introduction -- 1. Theta Functions -- Determinants and the Mumford form -- Arakelov-Faltings metrics -- 2. Kernel Functions and Analytic Torsion -- Szegö kernel for a hermitian bundle -- Resolvent kernel -- determinant of the laplacian -- 3. Variational Formulas -- Perturbation of resolvent and kernel functions -- Perturbation of torsion -- curvature formulas -- 4. Torsion on the Moduli Space of Stable Bundles -- Complex structure on the moduli space -- Torsion and non-abelian theta-functions -- 5. Torsion on Teichmuller Space -- Heat equations -- Insertion theorems -- Notational Index -- References