"Representations of the fundamental group and Higgs bundles on singular" by Usha N. Bhosle
 

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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