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The Geometry of Spherical Space Form Groups
Contributor(s): Gilkey, Peter B. (Author)
ISBN: 997150927X     ISBN-13: 9789971509279
Publisher: World Scientific Publishing Company
OUR PRICE:   $94.05  
Product Type: Hardcover - Other Formats
Published: September 1989
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Geometry - General
Series: Pure Mathematics
Physical Information: 1" H x 6.1" W x 9" (1.40 lbs) 372 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
New Edition: The Geometry of Spherical Space Form Groups (2nd Edition)In this volume, the geometry of spherical space form groups is studied using the eta invariant. The author reviews the analytical properties of the eta invariant of Atiyah-Patodi-Singer and describes how the eta invariant gives rise to torsion invariants in both K-theory and equivariant bordism. The eta invariant is used to compute the K-theory of spherical space forms, and to study the equivariant unitary bordism of spherical space forms and the Pinc and Spinc equivariant bordism groups for spherical space form groups. This leads to a complete structure theorem for these bordism and K-theory groups.There is a deep relationship between topology and analysis with differential geometry serving as the bridge. This book is intended to serve as an introduction to this subject for people from different research backgrounds.This book is intended as a research monograph for people who are not experts in all the areas discussed. It is written for topologists wishing to understand some of the analytic details and for analysists wishing to understand some of the topological ideas. It is also intended as an introduction to the field for graduate students.