Lectures on monopole Floer homology
Geometric Topology
2016-05-11 v1
Abstract
These lecture notes are a friendly introduction to monopole Floer homology. We discuss the relevant differential geometry and Morse theory involved in the definition. After developing the relation with the four-dimensional theory, our attention shifts to gradings and correction terms. Finally, we sketch the analogue in this setup of Manolescu's recent disproof of the long standing Triangulation Conjecture.
Keywords
Cite
@article{arxiv.1605.03140,
title = {Lectures on monopole Floer homology},
author = {Francesco Lin},
journal= {arXiv preprint arXiv:1605.03140},
year = {2016}
}
Comments
37 pages, 5 pictures. To appear in the Proceedings of the 22nd G\"okova Geometry/Topology Conference