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The abelianization of the level 2 mapping class group

arXiv:0804.4789 · doi:10.1112/jtopol/jtq026

Abstract

In this paper, we determine the abelianization of the level d mapping class group for d=2 and odd d. We also extend the homomorphism of the Torelli group defined by Heap to a homomorphism of the level 2 mapping class group.

26 pages, 5 figures