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arXiv · 2506.20122

Parameterized Lagrangian Floer homotopy

Kenneth Blakey·Ciprian Mircea Bonciocat
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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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Kenneth Blakey, Ciprian Mircea Bonciocat. 2025-06-25. Parameterized Lagrangian Floer homotopy. https://arxiv.org/abs/2506.20122

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