Enchiridion: Vol. 3 (2017): Don Larson

Author
Don Larson (Catholic University of America)

User’s Guide
Topic 1: Key insights and organizing principles
Topic 2: Conceptual metaphors and mental imagery
Topic 3: Story of the development
Topic 4: Colloquial summary
(as a single PDF)

Source Paper
The Adams-Novikov E_2-term for Behrens’ spectrum Q(2) at the prime 3
(arxiv:1407.3423)

Source Paper Abstract
We compute the Adams-Novikov E_2-term of a spectrum Q(2) constructed by Behrens. The homotopy groups of Q(2) are closely tied to the 3-primary stable homotopy groups of spheres; in particular, they are conjectured to detect the homotopy beta family of Greek letter elements at the prime 3. Our computation leverages techniques used by Behrens to compute the rational homotopy of Q(2), and leads to a conjecture that the Adams-Novikov E_2-term for Q(2) detects the algebraic beta family in the BP-based Adams-Novikov E_2-term for the 3-local sphere.

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