Geodesic
The eta-inverted sphere over the rationals
Wilson, Glen1
1 Department of Mathematics, University of Oslo, Oslo, Norway
Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1857-1881

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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

DOI : 10.2140/agt.2018.18.1857
Classification : 14F42, 18G15, 55Q45, 55T15
Keywords: motivic homotopy theory, Adams spectral sequence, stable homotopy groups of spheres

Wilson, Glen 1

1 Department of Mathematics, University of Oslo, Oslo, Norway 
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Wilson, Glen. The eta-inverted sphere over the rationals. Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1857-1881. doi: 10.2140/agt.2018.18.1857

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