• DOI:10.2140/gt.2005.9.1115
• Corpus ID: 15172527

Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary

@article{joyce2004DeformationsOA,
  title={Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary},
  author={dominic. joyce and Sema Salur},
  journal={Geometry \& Topology},
  year={2004},
  volume={9},
  pages={1115-1146}
}

• D. joyce, S. Salur
• Published 10 August 2004
• Mathematics
• Geometry & Topology

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 asymptotically cylindrical G_2-manifold (M,phi,g) is also a smooth manifold. Its dimension is the dimension of the positive subspace of the image of H^2_cs(C,R) in H^2(C,R).