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"".
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Höhe: 263 mm
Breite: 187 mm
Dicke: 34 mm
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ISBN-13
978-0-8218-0881-8 (9780821808818)
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Schweitzer Klassifikation
(Washington University, St. Louis, USA)
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.
