Surgical Methods in Rigidity
Published on 1. July 1997
Book
Paperback/Softback
V, 98 pages
978-3-540-58977-8 (ISBN)
Description
This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite to this result. It is intended for researchers and advanced graduate students in both differential geometry and topology. This book is the content of a course given by the author at TIFR in 1993.
More details
Series
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Illustrations
biography
Dimensions
Height: 25.4 cm
Width: 17.8 cm
Thickness: 5 mm
Weight
220 gr
ISBN-13
978-3-540-58977-8 (9783540589778)
Schweitzer Classification
Content
Contents:
Introduction.- Borel's Conjecture.- Generalized Borel Conjecture.- Davis'Construction.- Surgical method for analyzing S(M).- Surgery Exact Sequence.- Condition (*).-Splitting the Assembly Map.- Novikov's Conjecture.-Geometric Groups.- Connell-Hollingsworth Conjecture.-Thin h-cobordism Theorem.- Quinn's Theorem.- Torus Trick.- Non-positively curved manifolds.- Expanding Endomorphisms.- Exotic Smoothings.- Smooth Rigidity Problem.- Complex hyperbolic manifolds.- Berger spheres.-Final Remarks.