Associative submanifolds in Joyce's generalised Kummer constructions
Differential Geometry
2023-07-05 v1
Abstract
This article constructs examples of associative submanifolds in -manifolds obtained by resolving -orbifolds using Joyce's generalised Kummer construction. As the -manifolds approach the -orbifolds, the volume of the associative submanifolds tends to zero. This partially verifies a prediction due to Halverson and Morrison.
Keywords
Cite
@article{arxiv.2202.00522,
title = {Associative submanifolds in Joyce's generalised Kummer constructions},
author = {Shubham Dwivedi and Daniel Platt and Thomas Walpuski},
journal= {arXiv preprint arXiv:2202.00522},
year = {2023}
}