Abstract
We show that the strongest form of Hopkins’ chromatic splitting conjecture, as stated by Hovey, cannot hold at chromatic level at the prime . More precisely, for , the mod Moore spectrum, we prove that is not zero when is congruent to modulo . We explain how this contradicts the decomposition of predicted by the chromatic splitting conjecture.
Citation
Agnès Beaudry. "The chromatic splitting conjecture at $n=p=2$." Geom. Topol. 21 (6) 3213 - 3230, 2017. https://doi.org/10.2140/gt.2017.21.3213
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