Abstract
Let Y be an integral projective complex curve. To representations of the topological fundamental group of Y in the general linear group, we associate generalised parabolic vector bundles and Hitchin pairs. We use this correspondence to study the vector bundles and Hitchin pairs on Y associated to representations of the fundamental group in case the curve has singularities of type \(A_{2s}, A_{2s-1}\) or ordinary s-points.
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Acknowledgements
The author would like to thank Prof. R. V. Gurjar for useful discussions, in particular, those leading to the proof of Proposition 4.2.
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Communicated by D S Nagaraj.
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Bhosle, U.N. Representations of the fundamental group and Higgs bundles on singular integral curves. Proc Math Sci 132, 33 (2022). https://doi.org/10.1007/s12044-022-00676-5
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DOI: https://doi.org/10.1007/s12044-022-00676-5