Abstract
We compute the Milnor–Witt 2-stem of stable homotopy groups of motivic spheres over fields of characteristic not 2 in terms of motivic cohomology and hermitian K-groups. The answer reveals new relations among algebraic cycles, algebraic vector bundles equipped with quadratic forms, and stable motivic stems.
Citation
Oliver Röndigs. Markus Spitzweck. Paul Arne Østvær. "The second stable homotopy groups of motivic spheres." Duke Math. J. 173 (6) 1017 - 1084, 15 April 2024. https://doi.org/10.1215/00127094-2023-0023
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