Foliations, Volume 2
Seiten
2003
|
illustrated Edition
American Mathematical Society (Verlag)
978-0-8218-0881-8 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-0881-8 (ISBN)
A guide to the qualitative theory of foliations. It features topics including: analysis on foliated spaces, characteristic classes of foliations and foliated manifolds. It is suitable as a supplementary text for a topics course at the advanced graduate level.
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"".
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"".
Part 1: Analysis and geometry on foliated spaces: Foreword to part 1 The $C^*$-algebra of a foliated space Harmonic measures for foliated spaces Generic leaves 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 3: Foliated 3-manifolds: Foreword to part 3 Constructing foliations Reebless foliations Foliations and the Thurston norm Disk decomposition and foliations of link complements $C^*$-Algebras Riemannian geometry and heat diffusion Brownian motion Planar foliations Bibliography Index.
| Erscheint lt. Verlag | 1.11.2006 |
|---|---|
| Reihe/Serie | Graduate Studies in Mathematics |
| Zusatzinfo | bibliography, index |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 1127 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-8218-0881-8 / 0821808818 |
| ISBN-13 | 978-0-8218-0881-8 / 9780821808818 |
| Zustand | Neuware |
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