Parameterized Lagrangian Floer homotopy
arXiv:2506.20122
Abstract
We construct the Lagrangian Floer homotopy type, in the exact setting, as a spectrum parameterized over the moduli space of Maslov data. Our primary motivation for this construction is to provide stronger lower bounds for (possibly degenerate) Lagrangian intersections in plumbings of cotangent bundles.
31 pages; v2: typos fixed and reference added