Higgs bundles twisted by a vector bundle

Gallego, G and García-Prada, O and Narasimhan, MS (2024) Higgs bundles twisted by a vector bundle. In: International Journal of Mathematics, 35 .

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Abstract

In this paper, we consider a generalization of the theory of Higgs bundles over a smooth complex projective curve in which the twisting of the Higgs field by the canonical bundle of the curve is replaced by a rank 2 vector bundle. We define a Hitchin map and give a spectral correspondence. We also state a Hitchin-Kobayashi correspondence for a generalization of Hitchin's equations to this situation. In a certain sense, this theory lies halfway between the theories of Higgs bundles on a curve and on a higher-dimensional variety. © 2024 World Scientific Publishing Company.

Item Type:	Journal Article
Publication:	International Journal of Mathematics
Publisher:	World Scientific
Additional Information:	The copyright for this article belongs to World Scientific.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	29 Aug 2024 13:29
Last Modified:	29 Aug 2024 13:29
URI:	http://eprints.iisc.ac.in/id/eprint/84893

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