# Laminations and Foliations in Dynamics, Geometry and Topology

Share this page *Edited by *
*Mikhail Lyubich; John W. Milnor; Yair N. Minsky*

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.

# Table of Contents

## Laminations and Foliations in Dynamics, Geometry and Topology

- Contents vii8 free
- Introduction ix10 free
- Geodesic laminations on surfaces 114 free
- Dicritical singularities of holomorphic vector fields 3952
- Dynamics of P2 (Examples) 4760
- 3 lectures on foliations and laminations on 3-manifolds 87100
- Actions of discrete groups on complex projective spaces 155168
- Dynamics of singular holomorphic foliations on the complex projective plane 179192