2 problems

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Independence of the involutive mixed invariant from the admissible cut
Independence conjecture. The invariant $\Phi_{X,\mathfrak{s},N}^{I}$ does not depend on the choice of the involutively admissible cut $N$ .
Conjectureopenfloer-invariants four-manifolds involutive-heegaard-floerarXiv posted 2 days ago
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The path-dependence conjecture for involutive cobordism maps
Let $W$ be a cobordism with the auxiliary data appearing in the map $F^{I, \circ}_{W, \varpi, \mathfrak{a}}$ , and let $\gamma$ denote the associated path. Path-dependence conjectur…
Conjectureopenfloer-homology involutive-heegaard-floerarXiv posted 2 days ago

Independence of the involutive mixed invariant from the admissible cut