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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- ... 1504 (Lecture Notes in Mathematics, 1504) - Softcover

 
9783540550174: Geometric Topology: Recent Developments: Lectures given on the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Monteca- ... 1504 (Lecture Notes in Mathematics, 1504)

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Geometric Topology can be defined to be the investigation of global properties of a further structure (e.g. differentiable, Riemannian, complex,algebraic etc.) 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.

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Synopsis

The text of three lectures on geometric topology are presented in this volume. There is a discussion of the geometry and rigidity of discrete subgroups in Lie groups and an examination of the theory of moduli space of instantons as a tool for studying the geometry of low-dimensional manifolds.

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9783662196656: 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

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Geometric Topology can be defined to be the investigation ofglobal properties of a further structure (e.g.differentiable, Riemannian, complex,algebraic etc.) one canimpose on a topological manifold. At the C.I.M.E. session inMontecatini, in 1990, three courses of lectures were givenonrecent developments in this subject which is nowadaysemerging as one of themost fascinating and promising fieldsof contemporary mathematics. The notesof these courses arecollected in this volume and can be described as: 1) thegeometry and the rigidity of discrete subgroups in Liegroups especially in the case of lattices in semi-simplegroups; 2) the study of the critical points of the distancefunction and its appication to the understanding of thetopology of Riemannian manifolds; 3) the theory of modulispace of instantons as a tool for studying the geometry oflow-dimensional manifolds.CONTENTS: J. Cheeger: Critical Points of Distance Functionsand Applications to Geometry.- M. Gromov, P. Pansu, Rigidityof Lattices: An Introduction.- Chr. Okonek: InstantonInvariants and Algebraic Surfaces. Seller Inventory # 9783540550174

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Critical points of distance functions and applications to geometry.- Rigidity of lattices: An introduction.- Instanton invariants and algebraic surfaces.Geometric Topology can be defined to be the investigation ofglobal properties of a further. Seller Inventory # 4893422

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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Geometric Topology can be defined to be the investigation of global properties of a further structure (e.g. differentiable, Riemannian, complex,algebraic etc.) 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.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 208 pp. Englisch. Seller Inventory # 9783540550174

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