Representations of the fundamental group and Higgs bundles on singular integral curves

Article Type

Research Article

Publication Title

Proceedings of the Indian Academy of Sciences: Mathematical Sciences

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 A2s, A2s-1 or ordinary s-points.

DOI

10.1007/s12044-022-00676-5

Publication Date

6-1-2022

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