Local Lagrangian Floer Homology of Quasi-Minimally Degenerate Intersections

We define a broad class of local Lagrangian intersections which we call quasi-minimally degenerate (QMD) before developing techniques for studying their Floer homology. In some cases, one may think such as modeled on minimally functions defined by Kirwan. One major result this paper is: if $L_0,L_1$ are two submanifolds whose intersection decomposes into QMD sets, there is spectral sequence converging to homology $HF_*(L_0,L_1)$ $E^1$ page obtained from data given the pieces. The terms singular homologies with boundary that come perturbations sets. then give applications these towards affine varieties, reproducing prior results using our more general framework.