Iterated integrals and homotopy periods /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hain, Richard M. (Richard Martin), 1953- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I., USA : American Mathematical Society, [1984]
Colección:Memoirs of the American Mathematical Society ; no. 291.
Temas:
Homotopy theory.
Multiple integrals.
Homotopie.
Intégrales multiples.
Homotopy theory
Multiple integrals
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. INTRODUCTION
  • 2. HOW TO COMPUTE [sub(*)](M) Đ̉¯ R USING DIFFERENTIAL FORMS
  • The Whitehead Product
  • The de Rham Theorem
  • Power Series Connections
  • The Main Theorem
  • Appendix
  • 3. NOTATION AND CONVENTIONS
  • 4. POWER SERIES CONNECTIONS ON SEMISIMPLICIAL COMPLEXES
  • Differentiable Spaces
  • Polynomial Forms on an s.s.c.
  • Connections on Cochain Algebras
  • The Main Theorem
  • 5. ITERATED INTEGRALS
  • Loop Spaces
  • Iterated Integrals
  • Properties of Iterated Integrals
  • 6. POWER SERIES CONNECTIONS REVISITED
  • The Smoothing Lemma
  • Loop Space Cohomology.
  • The Transport of a Connection
  • The Lie Transport
  • Uniqueness and Naturality of Power Series Connections
  • Topological Interpretation of the Model
  • 7. ITERATED INTEGRALS AND H0M0T0PY PERIODS
  • Iterated integrals and Minimal Models
  • 8. A PROOF OF THE SMOOTHING LEMMA
  • 9. PROOFS OF THE RATIONAL LOOP SPACE HOLOMOGY AND COHOMOLOGY THEOREMS
  • REFERENCES.

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