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Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary

Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary

McLean proved that the moduli space of coassociative deformations of a compact coassociative 4-submanifold C in a G_2-manifold (M,phi,g) is a smooth manifold of dimension equal to b^2_+(C). In this paper, we show that the moduli space of coassociative deformations of a noncompact, asymptotically cylindrical coassociative 4-fold C in an …