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Orthogonal Higgs bundles with singular spectral curves
Communications in Analysis and Geometry ( IF 0.7 ) Pub Date : 2021-01-08 , DOI: 10.4310/cag.2020.v28.n8.a6
Steve Bradlow 1 , Lucas Branco , Laura P. Schaposnik 2
Affiliation  

We examine Higgs bundles for non-compact real forms of $SO(4,\mathbb{C})$ and the isogenous complex group $SL(2,\mathbb{C}) \times SL(2,\mathbb{C})$. This involves a study of non-regular fibers in the corresponding Hitchin fibrations and provides interesting examples of non-abelian spectral data.

中文翻译:

具有奇异光谱曲线的正交希格斯束

我们检查了希格斯束中非紧凑实型$ SO(4,\ mathbb {C})$和同质复杂群$ SL(2,\ mathbb {C})\ times SL(2,\ mathbb {C} )$。这涉及到对相应的Hitchin纤维中非规则纤维的研究,并提供了非阿贝尔光谱数据的有趣示例。
更新日期:2021-01-10
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