Buch, Englisch, 560 Seiten, Format (B × H): 187 mm x 263 mm, Gewicht: 1153 g
Buch, Englisch, 560 Seiten, Format (B × H): 187 mm x 263 mm, Gewicht: 1153 g
Reihe: Graduate Studies in Mathematics
ISBN: 978-0-8218-0881-8
Verlag: American Mathematical Society
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.
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.
The $C*$-algebra of a foliated space; Harmonic measures for foliated spaces; Generic leaves; The Euler class of circle bundles; The Chern-Weil construction; Characteristic classes and integrability; The Godbillon-Vey classes; 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
