Special Bohr–Sommerfeld geometry: variations

This work continues investigations of special Bohr–Sommerfeld geometry for compact symplectic manifolds. By using natural deformation parameters we circumvent the difficulties involved in the definition of moduli spaces of special Bohr–Sommerfeld cycles for compact simply connected algebraic varieties. As a byproduct, we present some ideas of how our constructions can be exploited in the studies of Weinstein structures and Eliashberg conjectures.