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Framed and MW-transfers for homotopy modules. / Ananyevskiy, Alexey; Neshitov, Alexander.

In: Selecta Mathematica, New Series, Vol. 25, No. 2, 26, 19.03.2019.

Research output: Contribution to journal › Article › peer-review

Harvard

Ananyevskiy, A & Neshitov, A 2019, 'Framed and MW-transfers for homotopy modules', Selecta Mathematica, New Series, vol. 25, no. 2, 26. https://doi.org/10.1007/s00029-019-0472-0

APA

Ananyevskiy, A., & Neshitov, A. (2019). Framed and MW-transfers for homotopy modules. Selecta Mathematica, New Series, 25(2), [26]. https://doi.org/10.1007/s00029-019-0472-0

Vancouver

Ananyevskiy A, Neshitov A. Framed and MW-transfers for homotopy modules. Selecta Mathematica, New Series. 2019 Mar 19;25(2). 26. https://doi.org/10.1007/s00029-019-0472-0

Author

Ananyevskiy, Alexey ; Neshitov, Alexander. / Framed and MW-transfers for homotopy modules. In: Selecta Mathematica, New Series. 2019 ; Vol. 25, No. 2.

BibTeX

@article{cbf8df6099ac42c884dcf51c4bd8cb99,
title = "Framed and MW-transfers for homotopy modules",
abstract = " In the paper we use the theory of framed correspondences to construct Milnor–Witt transfers on homotopy modules. As a consequence we identify the zeroth stable A 1 -homotopy sheaf of a smooth variety with the zeroth homology of the corresponding MW-motivic complex and prove that the hearts of the homotopy t-structures on the stable A 1 -derived category and the category of Milnor–Witt motives are equivalent. We also show that a homotopy invariant stable linear framed Nisnevich sheaf admits a unique structure of a presheaf with MW-transfers compatible with the framed structure. ",
keywords = "Framed correspondences, Homotopy modules, Milnor–Witt correspondences",
author = "Alexey Ananyevskiy and Alexander Neshitov",
year = "2019",
month = mar,
day = "19",
doi = "10.1007/s00029-019-0472-0",
language = "English",
volume = "25",
journal = "Selecta Mathematica, New Series",
issn = "1022-1824",
publisher = "Birkh{\"a}user Verlag AG",
number = "2",

}

RIS

TY - JOUR

T1 - Framed and MW-transfers for homotopy modules

AU - Ananyevskiy, Alexey

AU - Neshitov, Alexander

PY - 2019/3/19

Y1 - 2019/3/19

N2 - In the paper we use the theory of framed correspondences to construct Milnor–Witt transfers on homotopy modules. As a consequence we identify the zeroth stable A 1 -homotopy sheaf of a smooth variety with the zeroth homology of the corresponding MW-motivic complex and prove that the hearts of the homotopy t-structures on the stable A 1 -derived category and the category of Milnor–Witt motives are equivalent. We also show that a homotopy invariant stable linear framed Nisnevich sheaf admits a unique structure of a presheaf with MW-transfers compatible with the framed structure.

AB - In the paper we use the theory of framed correspondences to construct Milnor–Witt transfers on homotopy modules. As a consequence we identify the zeroth stable A 1 -homotopy sheaf of a smooth variety with the zeroth homology of the corresponding MW-motivic complex and prove that the hearts of the homotopy t-structures on the stable A 1 -derived category and the category of Milnor–Witt motives are equivalent. We also show that a homotopy invariant stable linear framed Nisnevich sheaf admits a unique structure of a presheaf with MW-transfers compatible with the framed structure.

KW - Framed correspondences

KW - Homotopy modules

KW - Milnor–Witt correspondences

UR - http://www.scopus.com/inward/record.url?scp=85063125009&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/framed-mwtransfers-homotopy-modules

U2 - 10.1007/s00029-019-0472-0

DO - 10.1007/s00029-019-0472-0

M3 - Article

AN - SCOPUS:85063125009

VL - 25

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

SN - 1022-1824

IS - 2

M1 - 26

ER -

ID: 41331122