1.

Record Nr.

UNINA9910479909603321

Autore

Hain Richard M (Richard Martin), <1953->

Titolo

Iterated integrals and homotopy periods / / Richard M. Hain

Pubbl/distr/stampa

Providence, R.I., USA : , : American Mathematical Society, , [1984]

©1984

ISBN

1-4704-0701-9

Descrizione fisica

1 online resource (104 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 291

Disciplina

510 s

514/.24

Soggetti

Homotopy theory

Multiple integrals

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 1984, volume 47, number 291."

Nota di bibliografia

Bibliography: pages 96-98.

Nota di contenuto

""CONTENTS""; ""1. INTRODUCTION""; ""2. HOW TO COMPUTE â??[sub(*)](M) ࣠̄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""