Equivalence of odd tangle invariants (arc algebras vs. foamation)

Determine whether the odd Khovanov homology for tangles defined via arc algebras by Naisse and Putyra coincides with the tangle invariant constructed using the super/graded foamation 2-functor (including Vaz's construction), by proving an explicit equivalence between the two frameworks for oriented tangles.

Background

Naisse and Putyra extended odd Khovanov homology to tangles through arc algebras and conjectured their construction agrees with Vaz’s tangle invariant, which the present thesis shows coincides with its own foam-based construction.

Verifying the equivalence between the arc-algebra-based and foamation-based odd tangle invariants would unify approaches and enhance computational and conceptual tools.