@Misc{ BadCic22, author = { Badal, Rufat and Cicalese, Marco }, title = { Renormalized energy between fractional vortices with topologically induced free discontinuities on $2$-dimensional Riemannian manifolds }, journal = { }, year = { 2022 }, pages = { }, URL = { http://cvgmt.sns.it/paper/5493/ }, note = { cvgmt preprint} }