
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
Springer (Publisher)
Published on 13. December 1991
Book
Paperback/Softback
VIII, 200 pages
978-3-540-55017-4 (ISBN)
Description
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.
More details
Series
Edition
1991 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 200 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 12 mm
Weight
324 gr
ISBN-13
978-3-540-55017-4 (9783540550174)
DOI
10.1007/BFb0094287
Schweitzer Classification
Content
Critical points of distance functions and applications to geometry.- Rigidity of lattices: An introduction.- Instanton invariants and algebraic surfaces.