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Laminations and Foliations in Dynamics, Geometry and Topology
Edited by: Mikhail Lyubich, John W. Milnor, and Yair N. Minsky, SUNY at Stony Brook, NY
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Contemporary Mathematics
2001; 233 pp; softcover
Volume: 269
ISBN-10: 0-8218-1985-2
ISBN-13: 978-0-8218-1985-2
List Price: US$68
Member Price: US$54.40
Order Code: CONM/269
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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 minicourses that took place during the conference.

Readership

Graduate students and research mathematicians interested in geometry, topology, and dynamics.

Table of Contents

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