Lectures on surgical methods in rigidity
Author(s)
Bibliographic Information
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
- Other Title
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Surgical methods in rigidity
Available at / 34 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: gw514/F2472070406125
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Note
Bibliography: p. 93-98
Description and Table of Contents
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.
Table of 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.
by "Nielsen BookData"