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arXiv · 2507.02127

Spectral coverings without embeddings

Eric Boulter·Steven Rayan
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Abstract

In this article, we investigate a weakened version of the spectral correspondence for twisted Higgs bundles. Namely, we construct twisted Higgs bundles from a finite covering map and a vector bundle on that covering but without requiring that they match the eigen-data for some fixed twisted Higgs bundle. We investigate stability for twisted Higgs bundles constructed in this way, and compare our covering data to that of the traditional spectral cover.

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Eric Boulter, Steven Rayan. 2025-07-02. Spectral coverings without embeddings. https://arxiv.org/abs/2507.02127

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