Witt sheaves and the η-inverted sphere spectrum

DOI10.1112/topo.12015zbMath1378.14021arXiv1504.04860OpenAlexW3124573742MaRDI QIDQ5359104

Alexey Ananyevskiy, Marc N. Levine, I. A. Panin

Publication date: 22 September 2017

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04860

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Motivic cohomology; motivic homotopy theory (14F42) Hermitian (K)-theory, relations with (K)-theory of rings (19G38)

Related Items (16)

THE BOREL CHARACTER ⋮ On the push-forwards for motivic cohomology theories with invertible stable Hopf element ⋮ An overview of motivic homotopy theory ⋮ On the conservativity of the functor assigning to a motivic spectrum its motive ⋮ Stable operations and cooperations in derived Witt theory with rational coefficients ⋮ On the rational motivic homotopy category ⋮ Nisnevich sheafification of a homotopy invariant presheaf with transfers ⋮ Motivic cohomology ⋮ Motivic and real étale stable homotopy theory ⋮ The eta-inverted sphere over the rationals ⋮ On the zeroth stable \(\mathbb{A}^1\)-homotopy group of a smooth curve ⋮ The stable Galois correspondence for real closed fields ⋮ Reconstructing rational stable motivic homotopy theory ⋮ Comparison of stable homotopy categories and a generalized Suslin-Voevodsky theorem ⋮ On infinite effectivity of motivic spectra and the vanishing of their motives ⋮ Some comments on motivic nilpotence

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