Energy gap for Yang-Mills connections, I: Four-dimensional closed Riemannian manifolds
| Autor: | Feehan, Paul M. M. |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Advances in Mathematics 296 (2016), 55-84 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.aim.2016.03.034 |
| Popis: | We extend an $L^2$ energy gap result due independently to Min-Oo and Parker (1982) for Yang-Mills connections on principal $G$-bundles, $P$, over closed, connected, four-dimensional, oriented, smooth manifolds, $X$, from the case of positive Riemannian metrics to the more general case of good Riemannian metrics, including metrics that are generic and where the topologies of $P$ and $X$ obey certain mild conditions and the compact Lie group, $G$, is $\mathrm{SU}(2)$ or $\mathrm{SO}(3)$. Comment: 24 pages, incorporating final galley proof corrections. Background and analytical results provided by arXiv:1409.1525v2; the proof of Proposition 34.14 from arXiv:1409.1525v2 is included by request |
| Databáze: | arXiv |
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