Parameterized Lagrangian Floer homotopy
Kenneth Blakey, Ciprian Mircea Bonciocat
TL;DR
This paper constructs a parameterized Lagrangian Floer homotopy type as a spectrum over the moduli space of Maslov data, aiming to improve lower bounds for Lagrangian intersections in cotangent bundle plumbings.
Contribution
It introduces a new spectrum-based construction of Lagrangian Floer homotopy type parameterized by Maslov data, enhancing intersection bounds in symplectic topology.
Findings
Provides a spectrum parameterized over the moduli space of Maslov data.
Offers stronger lower bounds for Lagrangian intersections.
Applicable to plumbings of cotangent bundles.
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.
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