Special Bohr-Sommerfeld geometry: variations
Nikolay A. Tyurin (BLTP JINR Dubna, MI RAS Moscow)
TL;DR
This paper advances the understanding of Special Bohr-Sommerfeld geometry on compact symplectic manifolds by introducing deformation parameters that simplify the moduli space definition and discusses related Weinstein structures.
Contribution
It introduces natural deformation parameters to address previous difficulties in defining the moduli space of Special Bohr-Sommerfeld cycles.
Findings
Simplified the moduli space construction for Special Bohr-Sommerfeld cycles.
Provided insights on Weinstein structures and Eliashberg conjectures.
Enhanced the theoretical framework for symplectic geometry studies.
Abstract
In the paper we continue to study Special Bohr-Sommerfeld geometry of compact symplectic manifolds. Using natural deformation parameters we avoid the difficulties appeared in the definition of the moduli space of Special Bohr-Sommerfeld cycles for compact simply connected algebraic varieties. As a byproduct we present certain remarks on the Weinstein structures and Eliashberg conjectures.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Mathematical Dynamics and Fractals