Surgical Methods in Rigidity (Tata Institute Lectures on Mathematics and Physics) （1996. V, 98 p. 23,5 cm）

Surgical Methods in Rigidity (Tata Institute Lectures on Mathematics and Physics) （1996. V, 98 p. 23,5 cm）

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 100 p.
  • 商品コード 9783540589778

Full 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.

Contents

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.