Asymptotically Conical Associative 3-folds
Differential Geometry
2012-08-15 v2
Abstract
Given an associative 3-fold in R^7 which is asymptotically conical with generic rate less than 1, we show that its moduli space of deformations is locally homeomorphic to the kernel of a smooth map between smooth manifolds. Moreover, the virtual dimension of the moduli space is computed and shown to be non-negative for rates greater than -1, whereas the associative 3-fold is expected to be isolated for rates less than or equal to -1.
Keywords
Cite
@article{arxiv.0802.3536,
title = {Asymptotically Conical Associative 3-folds},
author = {Jason D. Lotay},
journal= {arXiv preprint arXiv:0802.3536},
year = {2012}
}
Comments
33 pages, v2: major changes for published version, mainly regarding the twisted Dirac and d-bar operators