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The homotopy of C-motivic modular forms

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arxiv 1811.07937 v1 pith:QRACW322 submitted 2018-11-19 math.AT

Daniel C. Isaksen This is my paper · ORCID
classification math.AT
keywords c-motivicadamsclassicalformshomotopyinformationmodularspectral
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A C-motivic modular forms spectrum mmf has recently been constructed. This article presents detailed computational information on the Adams spectral sequence for mmf. This information is essential for computing with the C-motivic and classical Adams spectral sequences that compute the C-motivic and classical stable homotopy groups of spheres.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The cohomology of $\mathbb{R}$-motivic $\mathcal{A}(2)$

    math.AT 2025-09 conditional novelty 7.0 of 10

    The tri-graded additive cohomology of R-motivic A(2) is computed via a ρ-Bockstein spectral sequence (56 indecomposables), with the ring structure only partially determined.

  2. Filtrations in $\mathbb{C}$-motivic stable homotopy theory

    math.AT 2026-08 conditional novelty 6.0 of 10

    For bounded-below classical spectra with even MU homology, the effective slices of their C-motivic analogues are wedges of motivic Eilenberg-MacLane spectra indexed by the Adams-Novikov E2-page.

  3. Periodic phenomena in stable motivic homotopy theory

    math.AT 2026-07 unverdicted novelty 2.0 of 10

    A survey of periodic phenomena in stable motivic homotopy theory, organizing known motivic Adams spectral sequence computations and open problems; no new theorem is proven.

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