The topological IHX relation, pure braids, and the Torelli group
Gervais, Sylvain ; Habegger, Nathan
Duke Math. J., Tome 115 (2002) no. 1, p. 265-280 / Harvested from Project Euclid
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We prove that the filtration on the pure braid group on g strands, induced by the lower central series of the Torelli group of a genus g surface with one boundary component, coincides with its lower central series, shifted by one. ¶ In particular, the cubic Jacobi relations in the pure braid group are quadratic relations in the Torelli group.
Publié le : 2002-04-01
Classification:  57M27,  20F36,  20F38,  57R50 
@article{1087575152,
     author = {Gervais, Sylvain and Habegger, Nathan},
     title = {The topological IHX relation, pure braids, and the Torelli group},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 265-280},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087575152}
}

Gervais, Sylvain; Habegger, Nathan. The topological IHX relation, pure braids, and the Torelli group. Duke Math. J., Tome 115 (2002) no. 1, pp.  265-280. http://gdmltest.u-ga.fr/item/1087575152/