The quantitative nature of reduced Floer theory

We study the reduced symplectic cohomology of disk subbundles in negative line bundles. show that this theory “sees” spectrum a quantum action on cohomology. Precisely, decomposes into generalized eigenspaces first Chern class by cup product. The bundle radius R sees all whose eigenvalues have size less than R, up to rescaling fixed constant. Similarly, we an annulus subbundle between radii R1 and R2 captures R2, rescaling. how local closed-string mirror symmetry statements follow from these computations