Laminations and foliations in dynamics, geometry and topology : proceedings of the Conference on Laminations and Foliations in Dynamics, Geometry and Topology, May 18-24, 1998, SUNY at Stony Brook

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Laminations and foliations in dynamics, geometry and topology : proceedings of the Conference on Laminations and Foliations in Dynamics, Geometry and Topology, May 18-24, 1998, SUNY at Stony Brook

Mikhail Lyubich, John W. Milnor, Yair N. Minsky, editors

(Contemporary mathematics, 269)

American Mathematical Society, c2001

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Includes bibliographies

Description and Table of Contents

Description

This volume is based on a conference held at SUNY, Stony Brook (NY). The concepts of laminations and foliations appear in a diverse number of fields, such as topology, geometry, analytic differential equations, holomorphic dynamics, and renormalization theory. Although these areas have developed deep relations, each has developed distinct research fields with little interaction among practitioners. The conference brought together the diverse points of view of researchers from different areas. This book includes surveys and research papers reflecting the broad spectrum of themes presented at the event. Of particular interest are the articles by F. Bonahon, 'Geodesic Laminations on Surfaces', and D. Gabai, 'Three Lectures on Foliations and Laminations on 3-manifolds', which are based on mini courses that took place during the conference.

Table of Contents

Geodesic laminations on surfaces by F. Bonahon Dicritical singularities of holomorphic vector fields by C. Camacho Dynamics of $\mathbb{P}^2$ (Examples) by J. E. Formaess and N. Sibony 3 lectures on foliations and laminations on 3-manifolds by D. Gabai Rational laminations of complex polynomials by J. Kiwi Actions of discrete groups on complex projective spaces by J. Seade and A. Verjovsky Dynamics of singular holomorphic foliations on the complex projective plane by S. Zakeri.

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