Manifolds with Cusps of Rank One: Spectral Theory and L2-Index Theorem

ISBN-13: 9783540176961 / Angielski / Miękka / 1987 / 158 str.

Werner Mller

Opis

Investigates manifolds that are generalizations of (XX)-rank one locally symmetric spaces. This book develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one.

Spis treści

Preliminaries.- Cusps of rank one.- The heat equation on the cusp.- The Neumann laplacian on the cusp.- Manifolds with cusps of rank one.- The spectral resolution of H.- The heat kernel.- The eisenstein functions.- The spectral shift function.- The L2-index of generalized dirac operators.- The unipotent contribution to the index.- The Hirzebruch conjecture.