Lagrangian degeneracy loci refer to the subsets of a Lagrangian submanifold where certain geometric conditions fail, typically where the Lagrangian submanifold does not maintain its desired dimensionality or structure. These loci can provide insights into the singularities and behaviors of Lagrangian submanifolds, revealing deeper properties of the underlying symplectic geometry and how these objects interact with each other and with additional geometric structures.
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