Sasakian三重形上基本Hitchin方程的模空间
Moduli Spaces of the Basic Hitchin Equation on Sasakian Threefolds
AI总结：
研究Sasakian三重形上的基本Hitchin方程，构造其模空间并证明其具有超Kähler度量，计算模空间的维度。
摘要：
本文研究一种称为基本Hitchin方程的方程，该方程定义在Sasakian三重形上，是定义在黎曼面上的Hitchin方程的三维类比。我们构造了基本Hitchin方程的模空间，并证明此类空间具有超Kähler度量。这同时也表明Sasakian三重形上平坦丛的模空间具有超Kähler度量。我们还计算了模空间的维度。
英文摘要：
In this paper, we study an equation which we call the basic Hitchin equation. This is an equation defined on Sasakian threefolds and is a three-dimensional analog of the Hitchin equation, which is defined on Riemann surfaces. We construct the moduli space of the basic Hitchin equation and show that such a space admits a hyperKähler metric. This also shows that the moduli space of flat bundles over Sasakian threefolds admits a hyperKähler metric. We also calculate the dimension of the moduli space.
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