Geodesic
Homotopy Invariance of Nisnevich Sheaves with Milnor-Witt Transfers
Documenta mathematica, Tome 24 (2019), pp. 2339-2379.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

The category of finite Milnor-Witt correspondences, introduced by Calmès and Fasel, provides a new type of correspondences closer to the motivic homotopy theoretic framework than Suslin-Voevodsky's finite correspondences. A fundamental result in the theory of ordinary correspondences concerns homotopy invariance of sheaves with transfers, and in the present paper we address this question in the setting of Milnor-Witt correspondences. Employing techniques due to Druzhinin, Fasel-Østvær and Garkusha-Panin, we show that homotopy invariance of presheaves with Milnor-Witt transfers is preserved under Nisnevich sheafification.
Classification : 14F06, 14F20, 14F35, 14F42, 19E15
Keywords: motives, Milnor-Witt K-theory, Chow-Witt groups, motivic homotopy theory 
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     author = {Kolderup, H\r{a}kon},
     title = {Homotopy {Invariance} of {Nisnevich} {Sheaves} with {Milnor-Witt} {Transfers}},
     journal = {Documenta mathematica},
     pages = {2339--2379},
     publisher = {mathdoc},
     volume = {24},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a8/}
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Kolderup, Håkon. Homotopy Invariance of Nisnevich Sheaves with Milnor-Witt Transfers. Documenta mathematica, Tome 24 (2019), pp. 2339-2379. http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a8/