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arXiv · 1708.06523

The eta-inverted sphere over the rationals

Glen Matthew Wilson
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Abstract

We calculate the motivic stable homotopy groups of the two-complete sphere spectrum after inverting multiplication by the Hopf map eta over fields of cohomological dimension at most 2 with characteristic different from 2 (this includes the p-adic fields and the finite fields of odd characteristic) and the field of rational numbers; the ring structure is also determined.

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Glen Matthew Wilson. 2017-08-22. The eta-inverted sphere over the rationals. https://doi.org/10.2140/agt.2018.18.1857

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