Geodesic
Topologically Trivial Sheaves on Curves with Simplest Singularities
Informatics and Automation, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 10-19

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Topologically trivial vector bundles on nodal curves were considered in Tyurin's book Quantization, Classical and Quantum Field Theory, and Theta Functions. In the present paper, a compactification of the moduli of such vector bundles by topologically trivial torsion-free sheaves is constructed, and a stability criterion for topologically trivial sheaves of ranks $1$ and $2$ is given. 
@article{TRSPY_2004_246_a1,
     author = {I. V. Artamkin},
     title = {Topologically {Trivial} {Sheaves} on {Curves} with {Simplest} {Singularities}},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2004_246_a1/}
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I. V. Artamkin. Topologically Trivial Sheaves on Curves with Simplest Singularities. Informatics and Automation, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 10-19. http://geodesic.mathdoc.fr/item/TRSPY_2004_246_a1/