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.
Topological comparison theorems for bredon motivic cohomology / J. Heller, M. Voineagu, P.A. Oestvaer. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 371:4(2019), pp. 2875-2921. [10.1090/tran/7553]
Topological comparison theorems for bredon motivic cohomology
P.A. Oestvaer
2019
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.
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