Geometric Topology Recent Developments

Author/creator De Bartolomeis, P. Author
Format Electronic
Publication InfoSingapore : .Springer Singapore Pte. Limited
Supplemental ContentFull text available from SpringerLINK Lecture Notes in Mathematics
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Summary Annotation 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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ISBN9783540550174
ISBN3540550178 (Trade Paper) Active Record
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