Morphisms between co-isotropic branes

Determine the hom spaces between co-isotropic branes in the Fukaya category of a symplectic torus.

Background

The paper notes that the convergent Fukaya category may contain co-isotropic branes in addition to affine Lagrangians. These objects are important for comparison with coherent sheaves on mirror varieties, but their categorical interactions are not established in general.

A description of their hom spaces is therefore an unresolved problem needed for a complete understanding of the Fukaya category and for a full homological mirror symmetry theorem involving co-isotropic branes.

References

The hom spaces between co-isotropic branes are not well-understood in general.

— The derived category of a generalized complex torus  (2610.21960 - Antweiler et al., 15 Oct 2026) in Section 1, subsection “Noncommutative mirror symmetry”