2023
DOI: 10.48550/arxiv.2302.09622
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Numerical Hermitian Yang-Mills Connection for Bundles on Quotient Manifold

Abstract: We extend the previous computations of Hermitian Yang-Mills connections for bundles on complete intersection Calabi-Yau manifolds to bundles on their free quotients. Bundles on quotient manifolds are often defined by equivariant bundles on corresponding covering spaces. Combining equivariant structure and generalized Donaldson's algorithm, we develop a systematic approach to compute connections of holomorphic poly-stable bundles on quotient manifolds. With it, we construct the connections of an SU (3) bundle o… Show more

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