Homological infiniteness of decorated Torelli groups and Torelli spaces

Akita, Toshiyuki

Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 145-147 / Harvested from Project Euclid

Résumé

We prove that the rational homology of decorated Torelli groups and Torelli spaces are infinite dimensional when the genus of the reference surface is at least seven, thereby extended one of the main results of "Homological infiniteness of Torelli groups," Topology, v. 40 (2001), pp. 213-221.

Publié le : 2001-05-14
Classification: Torelli group, Torelli space, group homology, 55R40, 32G15, 57M50

@article{1178207536,
     author = {Akita, Toshiyuki},
     title = {Homological infiniteness of decorated Torelli groups and Torelli spaces},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 145-147},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207536}
}

Akita, Toshiyuki. Homological infiniteness of decorated Torelli groups and Torelli spaces. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  145-147. http://gdmltest.u-ga.fr/item/1178207536/