Special Bohr-Sommerfeld geometry: variations

Abstract

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.