Chromatic Homotopy Theory
Morava K-theories, formal group laws, and the chromatic filtration.
Chromatic Homotopy Theory. Morava K-theories, formal group laws, and the chromatic filtration.
Foundations and canonical references
The standard treatments of chromatic homotopy theory approach the subject from complementary angles. Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres (2003) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for chromatic homotopy theory 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 · 2003Complex Cobordism and Stable Homotopy Groups of Spheresravenel-2003
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