Skip to main content

Iterated integrals and mixed hodge structures on homotopy groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 1246)

Keywords

  • Hopf Algebra
  • Spectral Sequence
  • Homotopy Group
  • Iterate Integral
  • Hodge Theory

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adams, J. F., On the cobar construction, Colloque de Topologie Algébrique (Louvain, 1956), George Thone, Paris, 1957, 81–87.

    Google Scholar 

  2. Chen, K.-T., Iterated path integrals, Bull. Amer. Math. Soc., 83 (1977), 831–879.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Chen, K.-T., Reduced bar constructions on de Rham complexes. In: Heller, A., Tierney, M., eds., Algebra, Topology, and Category Theory, Academic Press, New York, 1976, 19–32.

    Google Scholar 

  4. Deligne, P., Théorie de Hodge, III. Publ. Math. IHES 44, (1974), 5–77.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Durfee, A., Hain, R., Mixed Hodge structures on the homotopy of links. To appear.

    Google Scholar 

  6. Hain, R., On the indecomposables of the bar construction, Proc. Amer. Math. Soc., to appear.

    Google Scholar 

  7. Hain, R., The de Rham homotopy theory of complex algebraic varieties, I. To appear.

    Google Scholar 

  8. Hain, R., The geometry of the mixed Hodge structure on the fundamental group. To appear in Proc. of the AMS Summer Institute, Algebraic Geometry, Bowdoin College, 1985. Proc. Symp. Pure Math.

    Google Scholar 

  9. Milnor, J., Moore, J., On the structure of Hopf algebras, Ann. Math., 81 (1965), 211–264.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Morgan, J., The algebraic topology of smooth algebraic varieties, Publ. IHES, 48 (1978), 137–204.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Stallings, J., Quotients of the powers of the augmentation ideal in a group ring. In Knots, Groups and 3-Manifolds, Papers Dedicated to the Memory of R. H. Fox, L. Neuwirth ed., Princeton University Press, 1975.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this chapter

Cite this chapter

Hain, R.M. (1987). Iterated integrals and mixed hodge structures on homotopy groups. In: Cattani, E., Kaplan, A., Guillén, F., Puerta, F. (eds) Hodge Theory. Lecture Notes in Mathematics, vol 1246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077530

Download citation

  • DOI: https://doi.org/10.1007/BFb0077530

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17743-2

  • Online ISBN: 978-3-540-47794-5

  • eBook Packages: Springer Book Archive