Abstract:We introduce the moduli space of quasi-parabolic $SL(2,\mathbb {C})$-Higgs bundles over a compact Riemann surface $\Sigma$ and consider a natural involution, studying its fixed point locus when $\Sigma$ is $\mathbb {C} \mathbb {P}^1$ and establishing an identification with a moduli space of null polygons in Minkowski $3$-space.

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中文翻译：

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拟抛物线希格斯丛和零超多边形空间

摘要：我们在紧黎曼曲面 $\Sigma$ 上引入拟抛物线 $SL(2,\mathbb {C})$-Higgs 丛的模空间并考虑自然对合，研究其不动点轨迹当 $\Sigma $ 是 $\mathbb {C} \mathbb {P}^1$ 并在 Minkowski $3$-space 中建立具有空多边形模空间的标识。

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