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Global Analysis on Foliated Spaces /

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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 an...

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Bibliographic Details
Main Author: Moore, C. C. (Calvin C.)
Corporate Author: SpringerLink (Online service)
Other Authors: Schochet, Claude
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1988.
Series:Mathematical Sciences Research Institute publications ; 9.
Subjects:
Mathematics.
Algebraic topology.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • Locally Traceable Operators
  • Foliated Spaces
  • Tangential Cohomology
  • Transverse Measures
  • Characteristic Classes
  • Operator Algebras
  • Pseudodifferential Operators
  • The Index Theorem
  • Appendices: A: The operator. B: L2 Harmonic Forms on Non-Compact Manifolds. C: Positive Scalar Curvature Along the Leaves
  • References.