Lectures on Surgical Methods in Rigidity - Brossura

Farrell, F. T.

 
9783540589778: Lectures on Surgical Methods in Rigidity

Sinossi

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.

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Contenuti

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.

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Altre edizioni note dello stesso titolo

9788173190476: Surgical Methods in Rigidity

Edizione in evidenza

ISBN 10:  817319047X ISBN 13:  9788173190476
Casa editrice: Narosa Publishing House, 1997
Brossura