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Nilpotence in normed MGL-modules

Research paper by Tom Bachmann, Jeremy Hahn

Indexed on: 21 Jan '20Published on: 04 Jun '19Published in: arXiv - Mathematics - Algebraic Topology



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.