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Geometric Topology: Recent Developments: Lectures Given on the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Monteca- Tini Terme, Italy, June 4-12, 1990

Geometric Topology: Recent Developments: Lectures Given on the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Monteca- Tini Terme, Italy, June 4-12, 1990

Jeff Cheeger
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Geometric Topology can be defined to be the investigation of global properties of a further structure one can impose on a topological manifold. At the C.I.M.E. session in Montecatini, in 1990, three courses of lectures were given onrecent developments in this subject which is nowadays emerging as one of themost fascinating and promising fields of contemporary mathematics. The notesof these courses are collected in this volume and can be described as: 1) the geometry and the rigidity of discrete subgroups in Lie groups especially in the case of lattices in semi-simple groups; 2) the study of the critical points of the distance function and its appication to the understanding of the topology of Riemannian manifolds; 3) the theory of moduli space of instantons as a tool for studying the geometry of low-dimensional manifolds. CONTENTS: J. Cheeger: Critical Points of Distance Functions and Applications to Geometry.- M. Gromov, P. Pansu, Rigidity of Lattices: An Introduction.- Chr. Okonek: Instanton Invariants and Algebraic Surfaces.
Language
English
Pages
200
Format
Paperback
Publisher
Springer
Release
December 01, 1991
ISBN
3540550178
ISBN 13
9783540550174

Geometric Topology: Recent Developments: Lectures Given on the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Monteca- Tini Terme, Italy, June 4-12, 1990

Jeff Cheeger
0/5 ( ratings)
Read Download
Geometric Topology can be defined to be the investigation of global properties of a further structure one can impose on a topological manifold. At the C.I.M.E. session in Montecatini, in 1990, three courses of lectures were given onrecent developments in this subject which is nowadays emerging as one of themost fascinating and promising fields of contemporary mathematics. The notesof these courses are collected in this volume and can be described as: 1) the geometry and the rigidity of discrete subgroups in Lie groups especially in the case of lattices in semi-simple groups; 2) the study of the critical points of the distance function and its appication to the understanding of the topology of Riemannian manifolds; 3) the theory of moduli space of instantons as a tool for studying the geometry of low-dimensional manifolds. CONTENTS: J. Cheeger: Critical Points of Distance Functions and Applications to Geometry.- M. Gromov, P. Pansu, Rigidity of Lattices: An Introduction.- Chr. Okonek: Instanton Invariants and Algebraic Surfaces.
Language
English
Pages
200
Format
Paperback
Publisher
Springer
Release
December 01, 1991
ISBN
3540550178
ISBN 13
9783540550174

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