On counting associative submanifolds and Seiberg-Witten monopoles
Differential Geometry
2021-03-16 v2
Abstract
Building on ideas from [DT98; DS11; Wal17; Hay17], we outline a proposal for constructing Floer homology groups associated with a G2-manifold. These groups are generated by associative submanifolds and solutions of the ADHM Seiberg-Witten equations. The construction is motivated by the analysis of various transitions which can change the number of associative submanifolds. We discuss the relation of our proposal to Pandharipande and Thomas' stable pair invariant of Calabi-Yau 3-folds.
Keywords
Cite
@article{arxiv.1712.08383,
title = {On counting associative submanifolds and Seiberg-Witten monopoles},
author = {Aleksander Doan and Thomas Walpuski},
journal= {arXiv preprint arXiv:1712.08383},
year = {2021}
}
Comments
v2: exposition improved