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The cover of “Global Analysis on Foliated Spaces” - Open Library.

"Global Analysis on Foliated Spaces" was published by Springer New York in 1988 - New York, NY, it has 337 pages and the language of the book is English.


“Global Analysis on Foliated Spaces” Metadata:

  • Title: ➤  Global Analysis on Foliated Spaces
  • Author:
  • Language: English
  • Number of Pages: 337
  • Publisher: Springer New York
  • Publish Date:
  • Publish Location: New York, NY

“Global Analysis on Foliated Spaces” Subjects and Themes:

Edition Specifications:

  • Format: [electronic resource] /
  • Pagination: ➤  1 online resource (vii, 337 pages 16 illustrations).

Edition Identifiers:

AI-generated Review of “Global Analysis on Foliated Spaces”:


"Global Analysis on Foliated Spaces" Table Of Contents:

  • 1- Introduction
  • 2- Locally Traceable Operators
  • 3- Foliated Spaces
  • 4- Tangential Cohomology
  • 5- Transverse Measures
  • 6- Characteristic Classes
  • 7- Operator Algebras
  • 8- Pseudodifferential Operators
  • 9- The Index Theorem
  • 10- Appendices: A: The operator. B: L2 Harmonic Forms on Non-Compact Manifolds. C: Positive Scalar Curvature Along the Leaves
  • 11- References.

"Global Analysis on Foliated Spaces" Description:

The Open Library:

This book develops a variety of aspects of analysis and geometry on foliated spaces which should be useful in many situations. These strands are then brought together to provide a context and to expose Connes` index theorem for foliated spaces, a theorem which asserts the equality of the analytic and the topological index (two real numbers) which are associated to a tangentially elliptic operator. An additional purpose of this exposition is preparing the way towards the more general index theorem of Connes and Skandalis. This index theorem describes the abstract index class in KO (CR*(G(M))), the index group of the C*-algebra of the foliated space, and is necessarily substantially more abstract, while the tools used here are relatively elementary and straightforward, and are based on the heat equation method.

Open Data:

This book develops a variety of aspects of analysis and geometry on foliated spaces which should be useful in many situations. These strands are then brought together to provide a context and to expose Connes` index theorem for foliated spaces, a theorem which asserts the equality of the analytic and the topological index (two real numbers) which are associated to a tangentially elliptic operator. An additional purpose of this exposition is preparing the way towards the more general index theorem of Connes and Skandalis. This index theorem describes the abstract index class in KO (CR*(G(M))), the index group of the C*-algebra of the foliated space, and is necessarily substantially more abstract, while the tools used here are relatively elementary and straightforward, and are based on the heat equation method

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