Kernel Functions Analytic Torsion And Moduli Spaces
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Kernel Functions, Analytic Torsion, and Moduli Spaces
Author: John David Fay
language: en
Publisher: American Mathematical Soc.
Release Date: 1992
This memoir is a study of Ray-Singer analytic torsion for hermitian vector bundles on a compact Riemann surface [italic]C. The torsion is expressed through the trace of a modified resolvent. Thus, one can develop perturbation-curvature formulae for the Green-Szegö kernel and also for the torsion in terms of the Ahlfors-Bers complex structure of the Teichmuller space and Mumford complex structure of the moduli space of stable bundles of degree zero on [italic]C.
Integral Transforms, Reproducing Kernels and Their Applications
The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.
The Ubiquitous Heat Kernel
Author: Jay Jorgenson
language: en
Publisher: American Mathematical Soc.
Release Date: 2006
The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research. The intention of this collection of papers is to broaden productive communication across mathematical sub-disciplines and to provide a vehicle which would allow experts in one field to initiate research with individuals in another field, as well as to give non-experts a resource which can facilitate expanding theirresearch and connecting with others.