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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Topological comparison theorems for Bredon motivic cohomology


Authors: J. Heller, M. Voineagu and P. A. Østvær
Journal: Trans. Amer. Math. Soc. 371 (2019), 2875-2921
MSC (2010): Primary 14F42, 19E15; Secondary 55P42, 55P91
DOI: https://doi.org/10.1090/tran/7553
Published electronically: October 23, 2018
MathSciNet review: 3896100
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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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Additional Information

J. Heller
Affiliation: Department of Mathematics, University of Illinois, Urbana-Champaign, Illinois
Email: jeremiahheller.math@gmail.com

M. Voineagu
Affiliation: UNSW Sydney, NSW 2052, Australia
Email: m.voineagu@unsw.edu.au

P. A. Østvær
Affiliation: Department of Mathematics, University of Oslo, Norway
Email: paularne@math.uio.no

DOI: https://doi.org/10.1090/tran/7553
Keywords: Equivariant motivic homotopy, Bredon motivic cohomology, Betti realization
Received by editor(s): October 4, 2016
Received by editor(s) in revised form: January 25, 2018
Published electronically: October 23, 2018
Additional Notes: 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.
Article copyright: © Copyright 2018 American Mathematical Society