Research output: Contribution to journal › Article › peer-review
On very effective hermitian K-theory. / Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne.
In: Mathematische Zeitschrift, 29.04.2019.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On very effective hermitian K-theory
AU - Ananyevskiy, Alexey
AU - Röndigs, Oliver
AU - Østvær, Paul Arne
PY - 2019/4/29
Y1 - 2019/4/29
N2 - We argue that the very effective cover of hermitian K-theory in the sense of motivic homotopy theory is a convenient algebro-geometric generalization of the connective real topological K-theory spectrum. This means the very effective cover acquires the correct Betti realization, its motivic cohomology has the desired structure as a module over the motivic Steenrod algebra, and that its motivic Adams and slice spectral sequences are amenable to calculations.
AB - We argue that the very effective cover of hermitian K-theory in the sense of motivic homotopy theory is a convenient algebro-geometric generalization of the connective real topological K-theory spectrum. This means the very effective cover acquires the correct Betti realization, its motivic cohomology has the desired structure as a module over the motivic Steenrod algebra, and that its motivic Adams and slice spectral sequences are amenable to calculations.
KW - A -homotopy theory
KW - Hermitian K-theory
KW - Slice filtration
UR - http://www.scopus.com/inward/record.url?scp=85065175221&partnerID=8YFLogxK
U2 - 10.1007/s00209-019-02302-z
DO - 10.1007/s00209-019-02302-z
M3 - Article
AN - SCOPUS:85065175221
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
SN - 0025-5874
ER -
ID: 42385259