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arXiv · 1809.06021

On Higgs Bundles on Nodal Curves

Marina Logares
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Abstract

This is a review article on some applications of generalised parabolic structures to the study of torsion free sheaves and $L$-twisted Hitchin pairs on nodal curves. In particular, we survey on the relation between representations of the fundamental group of a nodal curve and the moduli spaces of generalised parabolic bundles and generalised parabolic $L$-twisted Hitchin pairs on its normalisation as well as on an analogue of the Hitchin map for generalised parabolic $L$-twisted Hitchin pairs.

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Marina Logares. 2018-09-17. On Higgs Bundles on Nodal Curves. https://doi.org/10.3842/sigma.2019.024

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