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Are there references available on $HZR$ theory ?

I found on ncatlab that this is "genuinely $\mathbb Z/ 2\mathbb{Z}$-equivariant cohomology version of ordinary cohomology"

Found nothing on wikipedia, google, arxiv and here.

I thought that such a presentation could be a nice opening to real oriented cohomology theories.

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    $\begingroup$ It's clearly not a standard name. I would look for anything on "twisted KR-theory", since it is supposed to classify twists for that. Though my searches only turn up physicsy papers which aren't very clear. $\endgroup$
    – Charles Rezk
    Commented Mar 19, 2019 at 15:54

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