Geodesic
Topologically Trivial Sheaves on Curves with Simplest Singularities
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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{TM_2004_246_a1,
     author = {I. V. Artamkin},
     title = {Topologically {Trivial} {Sheaves} on {Curves} with {Simplest} {Singularities}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {10--19},
     publisher = {mathdoc},
     volume = {246},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2004_246_a1/}
}
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I. V. Artamkin. Topologically Trivial Sheaves on Curves with Simplest Singularities. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 10-19. http://geodesic.mathdoc.fr/item/TM_2004_246_a1/