Tohoku Mathematical Journal
2001
March
SECOND SERIES VOL. 53, NO. 1

Tohoku Math. J.
53 (2001), 145-147

Title HOMOLOGICAL INFINITENESS OF DECORATED TORELLI GROUPS AND TORELLI SPACES

Author Toshiyuki Akita

(Received June 7, 1999)
Abstract. 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 [2].

[2]T. Akita, Homological infiniteness of Torelli groups, Topology 40 (2001), 213--221.

2000 Mathematics Subject Classification. Primary 55R40, 32G15; Secondary 20F38, 20J99.

Key words and phrases. Torelli group, Torelli space, group homology.

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