Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary
Differential Geometry
2014-11-11 v2 Geometric Topology
Abstract
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).
Keywords
Cite
@article{arxiv.math/0408137,
title = {Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary},
author = {Dominic Joyce and Sema Salur},
journal= {arXiv preprint arXiv:math/0408137},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper25.abs.html