The paper defines an r-Nygaard filtration on prismatic cohomology and identifies the motivic filtration graded pieces of TR^r and its S1-fixed points with this filtration.
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TR and the $r$-Nygaard filtered prismatic cohomology
The paper defines an r-Nygaard filtration on prismatic cohomology and identifies the motivic filtration graded pieces of TR^r and its S1-fixed points with this filtration.