English

Nilpotence in normed MGL-modules

Algebraic Topology 2022-06-22 v2 Algebraic Geometry K-Theory and Homology

Abstract

We establish a motivic version of the May Nilpotence Conjecture: if E is a normed motivic spectrum that satisfies EHZ0E \wedge HZ \simeq 0, then also EMGL0E \wedge MGL \simeq 0. In words, motivic homology detects vanishing of normed modules over the algebraic cobordism spectrum.

Keywords

Cite

@article{arxiv.1906.01306,
  title  = {Nilpotence in normed MGL-modules},
  author = {Tom Bachmann and Jeremy Hahn},
  journal= {arXiv preprint arXiv:1906.01306},
  year   = {2022}
}

Comments

17 pages; updated bibliography

R2 v1 2026-06-23T09:40:47.289Z