Abstract
We use an Adams spectral sequence to calculate the –motivic stable homotopy groups after inverting . The first step is to apply a Bockstein spectral sequence in order to obtain –inverted –motivic groups, which serve as the input to the –inverted –motivic Adams spectral sequence. The second step is to analyze Adams differentials. The final answer is that the Milnor–Witt –stem has order , where is the –adic valuation of . This answer is reminiscent of the classical image of . We also explore some of the Toda bracket structure of the –inverted –motivic stable homotopy groups.
Citation
Bertrand Guillou. Daniel Isaksen. "The $\eta$–inverted $\mathbb{R}$–motivic sphere." Algebr. Geom. Topol. 16 (5) 3005 - 3027, 2016. https://doi.org/10.2140/agt.2016.16.3005
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