Foliations

Foliations

by Candel, Alberto

Type Book
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This is the second of two volumes on foliations (the first is Volume 23 of this series). In this volume, three specialized topics are treated: analysis on foliated spaces, characteristic classes of foliations, and foliated three-manifolds. Each of these topics represents deep interaction between foliation theory and another highly developed area of mathematics. In each case, the goal is to provide students and other interested people with a substantial introduction to the topic leading to furth…

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Title Statements

  • Full title :Foliations. / Alberto Candel, Lawrence Conlon.

Summary

This is the second of two volumes on foliations (the first is Volume 23 of this series). In this volume, three specialized topics are treated: analysis on foliated spaces, characteristic classes of foliations, and foliated three-manifolds. Each of these topics represents deep interaction between foliation theory and another highly developed area of mathematics. In each case, the goal is to provide students and other interested people with a substantial introduction to the topic leading to further study using the extensive available literature.

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Edition Statements

  • Publication Date:©2003

Publication Statements

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9781470417956, 1470417952, 0821808818, 9780821808818
  • oclc:ocn907363205
  • LC Classification:QA613.62
  • Dewey Decimal:514.72

Table of Contents

""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Part I. Part 1: Analysis and geometry on foliated spaces""; ""Foreword to part 1""; ""The *-algebra of a foliated space""; ""Harmonic measures for foliated spaces""; ""Generic leaves""; ""Part II. Part 2: Characteristic classes and foliations""; ""Foreword to part 2""; ""The Euler class of circle bundles""; ""The Chern-Weil construction""; ""Characteristic classes and integrability""; ""The Godbillon-Vey classes""; ""Part III. Part 3: Foliated 3-manifolds""; ""Foreword to part 3""; ""Constructing foliations""; ""Reebless foliations""

""Foliations and the Thurston norm""""Disk decomposition and foliations of link complements""; "" *-Algebras""; ""Riemannian geometry and heat diffusion""; ""Brownian motion""; ""Planar foliations""; ""Bibliography""; ""Index""; ""Back Cover""

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