Geometric Topology: Recent Developments 1

bokomslag Geometric Topology: Recent Developments

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200 sidor
1991

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.

Författare: Jeff Cheeger, Mikhail Gromov, Christian Okonek, Pierre Pansu, Paolo Debartolomeis
Format: Pocket/Paperback
ISBN: 9783540550174
Språk: Engelska
Antal sidor: 200
Utgivningsdatum: 1991-12-01
Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K