Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary
Abstract
McLean proved that the moduli space of coassociative deformations of a compact coassociative 4-submanifold C in a G2-manifold (M,phi,g) is a smooth manifold of dimension equal to b2+(C). In this paper, we show that the moduli space of coassociative deformations of a noncompact, asymptotically cylindrical coassociative 4-fold C in an asymptotically cylindrical G2-manifold (M,phi,g) is also a smooth manifold. Its dimension is the dimension of the positive subspace of the image of H2cs(C,R) in H2(C,R).
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