@Article{ giamuc06, author = { Giaquinta, Mariano and Mucci, Domenico }, title = { Graphs of $ W^{1,1}$-maps with values into $ S^1$: relaxed energies, minimal connections and lifting }, journal = { Proc. Roy. Soc. Edinburgh Sect. A }, year = { 2006 }, volume = { 137 }, number = { 5 }, pages = { 937-962 }, URL = { http://cvgmt.sns.it/paper/118/ }, note = { cvgmt preprint} }