Quillen度量与扰动方程
Quillen metrics and perturbed equations
摘要：
我们提出了无限维prequantum线丛和矩映射解释的三个不同的方程组-广义Monge-Schiere方程，几乎Hitchin系统，和Calabi-Yang-Mills方程。这些都是对已有方程的扰动。我们的建设广义Monge-Escherere方程的条件是从代数几何的猜想。此外，我们证明了，对于小值的扰动参数，这些方程的一些解决方案。
英文摘要：
We come up with infinite-dimensional prequantum line bundles and moment map interpretations of three different sets of equations - the generalised Monge-Amp`ere equation, the almost Hitchin system, and the Calabi-Yang-Mills equations. These are all perturbations of already existing equations. Our construction for the generalised Monge-Amp`ere equation is conditioned on a conjecture from algebraic geometry. In addition, we prove that for small values of the perturbation parameters, some of these equations have solutions.
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