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arXiv · 2012.00487

Deformed Hermitian-Yang-Mills Equation on Compact Hermitian Manifolds

Chao-Ming Lin
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Abstract

Let $(X, \omega)$ be a compact connected Hermitian manifold of dimension $n$. We consider the Bott-Chern cohomology and let $[\chi ] \in H^{1,1}_{\text{BC}}(X; \mathbb{R})$. We study the deformed Hermitian-Yang-Mills equation, which is the following nonlinear elliptic equation $\sum_{i} \arctan (\lambda_i) = h(x)$, where $\lambda_i$ are the eigenvalues of $\chi$ with respect to $\omega$.

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Chao-Ming Lin. 2020-12-01. Deformed Hermitian-Yang-Mills Equation on Compact Hermitian Manifolds. https://arxiv.org/abs/2012.00487

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