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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

Harvard

Ananyevskiy, A, Röndigs, O & Østvær, PA 2019, 'On very effective hermitian K-theory', Mathematische Zeitschrift. https://doi.org/10.1007/s00209-019-02302-z

APA

Ananyevskiy, A., Röndigs, O., & Østvær, P. A. (2019). On very effective hermitian K-theory. Mathematische Zeitschrift. https://doi.org/10.1007/s00209-019-02302-z

Vancouver

Ananyevskiy A, Röndigs O, Østvær PA. On very effective hermitian K-theory. Mathematische Zeitschrift. 2019 Apr 29. https://doi.org/10.1007/s00209-019-02302-z

Author

Ananyevskiy, Alexey ; Röndigs, Oliver ; Østvær, Paul Arne. / On very effective hermitian K-theory. In: Mathematische Zeitschrift. 2019.

BibTeX

@article{7b79a81853cc463890a063fe1a6b1f45,
title = "On very effective hermitian K-theory",
abstract = "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.",
keywords = "A -homotopy theory, Hermitian K-theory, Slice filtration",
author = "Alexey Ananyevskiy and Oliver R{\"o}ndigs and {\O}stv{\ae}r, {Paul Arne}",
year = "2019",
month = apr,
day = "29",
doi = "10.1007/s00209-019-02302-z",
language = "English",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer Nature",

}

RIS

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