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Differential Graded Algebras

  • Phillip Griffiths
  • John Morgan
Chapter
Part of the Progress in Mathematics book series (PM, volume 16)

Abstract

This chapter introduces (commutative) differential graded algebras (DGAs). The notion of a minimal DGA is introduced. These are constructed using Hirsch extensions. Hirsch extensions, up to isomorphism, are classified by a cohomology group. Lastly, the minimal model of a general simply connected DGA is defined and proved to exist by an inductive construction whose inductive step is a Hirsch extension.

Keywords

Minimal Model Simplicial Complex Category Theory Homotopy Type Homotopy 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.

References

  1. 27.
    Whitney, H.: Geometric Integration Theory. Princeton Press, Princeton (1957)Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Phillip Griffiths
    • 1
  • John Morgan
    • 2
  1. 1.Institute for Advanced StudyPrinceton UniversityPrincetonUSA
  2. 2.Simons Center for Geometry and PhysicsStony Brook UniversityStony BrookUSA

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