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  Conjugation spaces are cohomologically pure

Pitsch, W., Ricka, N., & Scherer, J. (2021). Conjugation spaces are cohomologically pure. Proceedings of the London Mathematical Society, 123(3), 313-344. doi:10.1112/plms.12399.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-8CA4-0 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-F6DE-4
Genre: Journal Article

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1908.03088.pdf (Preprint), 451KB
 
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https://doi.org/10.1112/plms.12399 (Publisher version)
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 Creators:
Pitsch, Wolfgang, Author
Ricka, Nicolas, Author
Scherer, Jérôme1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology
 Abstract: Conjugation spaces are equipped with an involution such that the fixed points
have the same mod 2 cohomology (as a graded vector space, a ring, and even an
unstable algebra) but with all degrees divided by 2, generalizing the classical
examples of complex projective spaces under complex conjugation. Using tools
from stable equivariant homotopy theory we provide a characterization of
conjugation spaces in terms of purity. This conceptual viewpoint, compared to
the more computational original definition, allows us to recover all known
structural properties of conjugation spaces.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: 39 pages. This version corrected some misprints and a few misleading proofs
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1908.03088
DOI: 10.1112/plms.12399
 Degree: -

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Title: Proceedings of the London Mathematical Society
  Abbreviation : Proc. London Math. Soc.
Source Genre: Journal
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Publ. Info: Wiley
Pages: - Volume / Issue: 123 (3) Sequence Number: - Start / End Page: 313 - 344 Identifier: -