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: 1504 - Brossura

Cheeger, Jeff

Brossura

ISBN 10: 3540550178 ISBN 13: 9783540550174

Casa editrice: Springer, 2009

Riassunto

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.

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Contenuti

Critical points of distance functions and applications to geometry.- Rigidity of lattices: An introduction.- Instanton invariants and algebraic surfaces.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3540550178
• ISBN 13: 9783540550174
• Rilegatura: Copertina flessibile
• Numero di pagine: 208
• Redattore: De Bartolomeis Paolo
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania