Spin structures and the divisibility of Euler classes
Geometric Topology
2018-09-12 v1 Differential Geometry
Abstract
In this short article we give a geometric meaning of the divisibility of -theoretical Euler classes for given two spin modules. We are motivated by Furuta's 10/8-inequality for a closed spin -manifold. The role of the reducibles is clarified in the monopole equations of Seiberg-Witten theory, as done by Donaldson and Taubes in Yang-Mills theory.
Cite
@article{arxiv.1809.04045,
title = {Spin structures and the divisibility of Euler classes},
author = {Yukio Kametani},
journal= {arXiv preprint arXiv:1809.04045},
year = {2018}
}