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Nilpotence in normed MGL-modules

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arxiv 1906.01306 v2 pith:TYLG36JF submitted 2019-06-04 math.AT math.AGmath.KT

Tom Bachmann , Jeremy Hahn This is my paper · ORCID
classification math.ATmath.AGmath.KT
keywords motivicnormednilpotencesimeqspectrumwedgealgebraiccobordism
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abstract

We establish a motivic version of the May Nilpotence Conjecture: if E is a normed motivic spectrum that satisfies $E \wedge HZ \simeq 0$, then also $E \wedge MGL \simeq 0$. In words, motivic homology detects vanishing of normed modules over the algebraic cobordism spectrum.

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Cited by 2 Pith papers

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

  1. The unit map of the algebraic special linear cobordism spectrum

    math.KT 2019-08 accept novelty 6.0 of 10

    Over characteristic 0 fields, the unit map from the motivic sphere spectrum to the special linear cobordism spectrum MSL is an isomorphism on homotopy modules, proven by comparing framed and SL-oriented framed corresp...

  2. 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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