This second volume of a two-volume set covers analysis of foliated spaces, characteristic classes of foliations, and foliated 3-manifolds. Early chapters treat C* -algebras of foliated spaces and generalize heat flow and Brownian motion in Riemannian manifolds to such spaces. Later chapters are devoted to characteristic classes and foliations and compact 3-manifolds foliated by surfaces. Appendices cover C* -algebras, Riemannian geometry and heat diffusion, and planar foliations. Annotation (c) Book News, Inc., Portland, OR (booknews.com)
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Hardback. Zustand: New. illustrated Edition. 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"". Bestandsnummer des Verkäufers LU-9780821808818
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Hardback. Zustand: New. illustrated Edition. 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"". Bestandsnummer des Verkäufers LU-9780821808818
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