Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary (Q2388845)

The authors show that the moduli space of coassociative deformations of a noncompact, asymptotically cylindrical coassociative 4-fold \(C\) in an asymptotically cylindrical \(G_2\)-manifold \(\left( M,\varphi , g\right)\) is also a smooth manifold. Its dimension is the dimension of the positive subspace of the image of \(H^2_{cs}\left( C,\mathbb{R}\right)\) in \(H^2 \left( C,\mathbb{R}\right)\).