**Graduate Studies in Mathematics**

Volume: 60;
2003;
545 pp;
Hardcover

MSC: Primary 57;

Print ISBN: 978-0-8218-0881-8

Product Code: GSM/60

List Price: $92.00

Individual Member Price: $73.60

**Electronic ISBN: 978-1-4704-1795-6
Product Code: GSM/60.E**

List Price: $92.00

Individual Member Price: $73.60

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#### Supplemental Materials

# Foliations II

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*Alberto Candel; Lawrence Conlon*

This is the second of two volumes on the qualitative theory of
foliations. For this volume, the authors have selected three special topics:
analysis on foliated spaces, characteristic classes of foliations, and foliated
manifolds. Each of these is an example of deep interaction between foliation
theory and some other highly-developed area of mathematics. In all cases, the
authors present useful, in-depth introductions, which lead to further study
using the extensive available literature.

This comprehensive volume has something to offer a broad spectrum of
readers: from beginners to advanced students to professional researchers. It
contains exercises and many illustrations. The book would make an elegant
supplementary text for a topics course at the advanced graduate level.
Foliations I is
Volume 23 in the AMS series, Graduate Studies in Mathematics.

#### Table of Contents

# Table of Contents

## Foliations II

- Cover Cover11 free
- Title page iii4 free
- Contents vii8 free
- Preface xi12 free
- Part I. Part 1: Analysis and geometry on foliated spaces 116 free
- Foreword to part 1 318
- The 𝐶*-algebra of a foliated space 520
- Harmonic measures for foliated spaces 6176
- Generic leaves 119134
- Part II. Part 2: Characteristic classes and foliations 137152
- Foreword to part 2 139154
- The Euler class of circle bundles 141156
- The Chern-Weil construction 177192
- Characteristic classes and integrability 187202
- The Godbillon-Vey classes 209224
- Part III. Part 3: Foliated 3-manifolds 249264
- Foreword to part 3 251266
- Constructing foliations 253268
- Reebless foliations 285300
- Foliations and the Thurston norm 325340
- Disk decomposition and foliations of link complements 361376
- 𝐶*-Algebras 399414
- Riemannian geometry and heat diffusion 425440
- Brownian motion 461476
- Planar foliations 497512
- Bibliography 527542
- Index 537552 free
- Back Cover Back Cover1562

#### Readership

Graduate students and research mathematicians interested in foliated spaces.

#### Reviews

Both volumes are written with great care and a deep knowledge of the subject … provide the most extensive elaboration of several aspects of foliation theory.

-- Mathematical Reviews

Overall presentation is first-rate … diagrams … are well-crafted and reflect the strongly ‘graphical’ nature of the subject … A prospective reader who cares to invest the time needed to plough seriously through the book ought to be rewarded with a gratifying mathematical experience … can also be recommended to more advanced researchers, who would enjoy seeing a compendium of major results.

-- Bulletin of the LMS

The authors pay great attention to examples, and you can find a large number of them in the book … They are well-chosen and will keep the interest of the reader on a high level … [The book is] a fundamental source for everybody with a serious interest in foliations.

-- European Mathematical Society Newsletter

The large number of well-chosen examples is one of the most striking features of the book … [It] contains several beautiful figures which help one to imagine and better understand situations described formally in the text. Therefore, graduate students, young researchers, and in fact, everybody interested in foliations should profit from this book.

-- Mathematical Reviews