### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 15 (2019), 024, 16 pages      arXiv:1809.06021      https://doi.org/10.3842/SIGMA.2019.024
Contribution to the Special Issue on Geometry and Physics of Hitchin Systems

### On Higgs Bundles on Nodal Curves

Marina Logares
School of Computing Electronics and Mathematics, University of Plymouth, Drake Circus, PL4 8AA, UK

Received October 16, 2018, in final form March 14, 2019; Published online March 28, 2019

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.

Key words: Higgs bundles; nodal curves; generalised parabolic structures.

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