Yamabe Invariants and the $\mathrm{Pin}^-(2)$-monopole Equations
Differential Geometry
2020-09-22 v2
Abstract
We compute the Yamabe invariants for a new infinite class of closed -dimensional manifolds by using a "twisted" version of the Seiberg-Witten equations, the -monopole equations. The same technique also provides a new obstruction to the existence of Einstein metrics or long-time solutions of the normalised Ricci flow with uniformly bounded scalar curvature.
Cite
@article{arxiv.1505.05948,
title = {Yamabe Invariants and the $\mathrm{Pin}^-(2)$-monopole Equations},
author = {Masashi Ishida and Shinichiroh Matsuo and Nobuhiro Nakamura},
journal= {arXiv preprint arXiv:1505.05948},
year = {2020}
}
Comments
14 pages