The Geometry of Spherical Space Form Groups: Second Edition: 28 - Rilegato

Gilkey, Peter B.

Rilegato

ISBN 10: 9813220783 ISBN 13: 9789813220782

Casa editrice: World Scientific Pub Co Inc, 2018

Riassunto

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.

Dettagli dell'edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 9813220783
• ISBN 13: 9789813220782
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 508
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile