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Asaeda-Przytycki-Sikora, Manturov, and Gabrovšek extended Khovanov homology to links in R P 3 RP^3 . We construct a Lee-type deformation of their theory, and use it to define an analogue of Rasmussen’s s s -invariant in this setting. We show that the s s -invariant gives constraints on the genera of link cobordisms in the cylinder I × R P 3 I × RP^3 . As an application, we give examples of freely 2 2 -periodic knots in S 3 S^3 that are concordant but not standardly equivariantly concordant.
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Manolescu et al. (2025) studied this question.
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