@article{77fa6b02fc05422dad2de5b8ddd4a009,
title = "Topological comparison theorems for bredon motivic cohomology",
abstract = "We prove equivariant versions of the Beilinson–Lichtenbaum conjecture for Bredon motivic cohomology of smooth complex and real varieties with an action of the group of order 2. This identifies equivariant motivic and topological invariants in a large range of degrees.",
keywords = "Betti realization, Bredon motivic cohomology, Equivariant motivic homotopy",
author = "J. Heller and M. Voineagu and {\O}stv{\ae}r, {P. A.}",
note = "Funding Information: Received by the editors October 4, 2016, and, in revised form, January 25, 2018. 2010 Mathematics Subject Classification. Primary 14F42, 19E15; Secondary 55P42, 55P91. Key words and phrases. Equivariant motivic homotopy, Bredon motivic cohomology, Betti realization. The authors gratefully acknowledge support from the RCN project Special Geometries, No. 239015 and the RCN Frontier Research Group Project No. 250399 “Motivic Hopf equations”. The first author was supported by NSF Grant No. DMS-1710966. The third author was supported by a Friedrich Wilhelm Bessel Research Award from the Humboldt Foundation. Publisher Copyright: {\textcopyright} 2018 American Mathematical Society.",
year = "2019",
month = apr,
day = "1",
doi = "10.1090/tran/7553",
language = "English (US)",
volume = "371",
pages = "2875--2921",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "4",
}