Lectures on surgical methods in rigidity
著者
書誌事項
Lectures on surgical methods in rigidity
（Lectures on mathematics and physics, . Mathematics ; 86）
Published for the Tata Institute of Fundamental Research [by] Springer-Verlag, 1996
- : gw
- : us
- タイトル別名
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Surgical methods in rigidity
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注記
Bibliography: p. 93-98
内容説明・目次
内容説明
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.
目次
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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