Geodesic
The extension of Johnson's homomorphism form the Torelli group to the mapping class group.
Inventiones mathematicae, Tome 111 (1993) no. 1, pp. 197-224

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Zbl
Mots-clés : mapping class group of a Riemannian surface, action on the fundamental group, Torelli group, crossed homomorphism 
Shigeyuki Morita. The extension of Johnson's homomorphism form the Torelli group to the mapping class group.. Inventiones mathematicae, Tome 111 (1993) no. 1, pp. 197-224. http://geodesic.mathdoc.fr/item/IM_1993__111_1_144076/
@article{IM_1993__111_1_144076,
     author = {Shigeyuki Morita},
     title = {The extension of {Johnson's} homomorphism form the {Torelli} group to the mapping class group.},
     journal = {Inventiones mathematicae},
     pages = {197--224},
     year = {1993},
     volume = {111},
     number = {1},
     zbl = {0787.57008},
     url = {http://geodesic.mathdoc.fr/item/IM_1993__111_1_144076/}
}
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