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Continuous cohomology of the Lie algebra of vector fields

About this Title

Toru Tsujishita

Publication: Memoirs of the American Mathematical Society
Publication Year: 1981; Volume 34, Number 253
ISBNs: 978-0-8218-2253-1 (print); 978-1-4704-0660-8 (online)
DOI: https://doi.org/10.1090/memo/0253
MathSciNet review: 634471
MSC: Primary 17B65; Secondary 17B56, 57R25, 58H10

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Table of Contents

Chapters

  • Introduction
  • 1. Distributions
  • 2. Differential homological algebra
  • 3. Lie algebra cohomology
  • 4. Frame bundles of manifolds
  • 5. Statement of the main results
  • 6. Diagonal cohomologies
  • 7. The Haefliger theorem
  • 8. Proof of Theorem I
  • 9. Proof of Theorem II
  • 10. Proof of Theorem (1.3.1)