Foliations. II / Alberto Candel, Lawrence Conlon.

Format:

Book

Author/Creator:

Candel, Alberto, author.

Conlon, Lawrence, author.

Series:

Graduate studies in mathematics ; v. 60.

Graduate studies in mathematics ; volume 60

Language:

English

Subjects (All):

Foliations (Mathematics).

Physical Description:

1 online resource (560 p.)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2003]

Language Note:

English

Summary:

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.

Contents:

""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Part I. Part 1: Analysis and geometry on foliated spaces""; ""Foreword to part 1""; ""The *-algebra of a foliated space""; ""Harmonic measures for foliated spaces""; ""Generic leaves""; ""Part II. 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 III. 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""; "" *-Algebras""; ""Riemannian geometry and heat diffusion""; ""Brownian motion""; ""Planar foliations""; ""Bibliography""; ""Index""; ""Back Cover""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed April 11, 2015).

ISBN:

1-4704-1795-2