Topological comparison theorems for Bredon motivic cohomology
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- by J. Heller, M. Voineagu and P. A. Østvær PDF
- Trans. Amer. Math. Soc. 371 (2019), 2875-2921 Request permission
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.References
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Additional Information
- J. Heller
- Affiliation: Department of Mathematics, University of Illinois, Urbana-Champaign, Illinois
- MR Author ID: 901183
- Email: jeremiahheller.math@gmail.com
- M. Voineagu
- Affiliation: UNSW Sydney, NSW 2052, Australia
- MR Author ID: 839767
- Email: m.voineagu@unsw.edu.au
- P. A. Østvær
- Affiliation: Department of Mathematics, University of Oslo, Norway
- Email: paularne@math.uio.no
- 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.
- © Copyright 2018 American Mathematical Society
- 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
- MathSciNet review: 3896100