Differential Graded Algebras
DG algebras, A-infinity structures, and operadic foundations.
Differential Graded Algebras. DG algebras, A-infinity structures, and operadic foundations.
Foundations and canonical references
The standard treatments of differential graded algebras approach the subject from complementary angles. Felix, Rational Homotopy Theory (2001) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Weibel, An Introduction to Homological Algebra (1994) offers an alternative presentation that complements the primary references and is useful for triangulating definitions and proof techniques.
Open methodological questions for differential graded algebras include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2001Rational Homotopy Theoryfelix-2001, halperin-2001, thomas-2001
- textbook · supporting · 1994An Introduction to Homological Algebraweibel-1994
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