Floer homology is a powerful invariant in symplectic geometry and topology that arises from the study of Lagrangian submanifolds and their intersections. It provides a way to measure the topological complexity of these submanifolds, enabling deep connections between geometry and algebraic topology. By analyzing the moduli spaces of pseudo-holomorphic curves, Floer homology plays a crucial role in understanding the relationships between symplectic manifolds and their associated invariants.
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