Complex-valued implicit representations of codimension-2 submanifolds carry a prequantum bundle whose curvature recovers the Marsden-Weinstein symplectic form on the space of submanifolds.
Millson and Brett Zombro, A k\"ahler structure on moduli space of isometric maps of a circle into euclidean space., Inventiones mathematicae 123 (1996), no
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Implicit representations of codimension-2 submanifolds and their prequantum structure
Complex-valued implicit representations of codimension-2 submanifolds carry a prequantum bundle whose curvature recovers the Marsden-Weinstein symplectic form on the space of submanifolds.