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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 (Paperback, 1991 ed.)
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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 (Paperback, 1991 ed.)
Series: 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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