"This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Gilkey, Peter B (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore World Scientific Publishing Company Pte Limited 2018
Ausgabe:	2nd ed
Schlagworte:	K-theory Topological transformation groups Electronic books Globale Analysis Indextheorem Sphärischer Raum Clifford-Kleinsche Raumform
Online-Zugang:	UBY01 Volltext
Zusammenfassung:	"This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. This volume is a completely rewritten revision of the first edition. The underlying organization is modified to provide a better organized and more coherent treatment of the material involved. In addition, approximately 100 pages have been added to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. We have chosen to focus on the geometric aspect of the theory rather than more abstract algebraic constructions (like the assembly map) and to restrict our attention to spherical space forms rather than more general and more complicated geometrical examples to avoid losing contact with the fundamental geometry which is involved."--
Beschreibung:	Includes bibliographical references (pages 477-488) and index
Beschreibung:	1 online resource (508 pages) illustrations (some color)
ISBN:	9789813220799