Sphere-trace class in Lagrangian-core homology

Identify the homology class in the fixed part of the Lagrangian core whose capped-vertex integration realizes the sphere trace functional.

Background

The quantum Hikita isomorphism expresses graded traces geometrically as integration of capped vertex functions against classes in the homology of the fixed part of the Lagrangian core. The sphere trace is a distinguished twisted trace arising in gauge theory and is known analytically for good or ugly theories.

The paper proves existence of a corresponding class abstractly under its conjectural framework but does not identify that class explicitly.