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Abstract
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We calculate the motivic stable homotopy groups of the two-complete
sphere spectrum after inverting multiplication by the Hopf map
over fields of cohomological dimension at most
with characteristic
different from
(this
includes the
–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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Keywords
motivic homotopy theory, Adams spectral sequence, stable
homotopy groups of spheres
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Mathematical Subject Classification 2010
Primary: 14F42
Secondary: 18G15, 55Q45, 55T15
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Publication
Received: 30 August 2017
Revised: 26 October 2017
Accepted: 7 November 2017
Published: 3 April 2018
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