Parameterized Lagrangian Floer homotopy
Symplectic Geometry
2025-07-04 v2
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.
Cite
@article{arxiv.2506.20122,
title = {Parameterized Lagrangian Floer homotopy},
author = {Kenneth Blakey and Ciprian Mircea Bonciocat},
journal= {arXiv preprint arXiv:2506.20122},
year = {2025}
}
Comments
31 pages; v2: typos fixed and reference added