Foliations, Volume 2 - Alberto Candel, Lawrence Conlon

Foliations, Volume 2

Buch | Hardcover
560 Seiten
2003 | illustrated Edition
American Mathematical Society (Verlag)
978-0-8218-0881-8 (ISBN)
147,15 inkl. MwSt
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"".

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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