The abelianization of the level L mapping class group

Abstract

We calculate the abelianizations of the level $L$ subgroup of the genus $g$ mapping class group and the level $L$ congruence subgroup of the $2g\times 2g$ symplectic group for $L$ odd and $g\ge 3$.

9 pages, 1 figure; permanent preprint; added historical note discussing subsequent work on the subject

References in corpus (2)

• The abelianization of the level 2 mapping class group
• Irreducible Sp-representations and subgroup distortion in the mapping class group

Cited by in corpus (4)

• The abelianization of the level 2 mapping class group
• The Torelli group and congruence subgroups of the mapping class group
• The second rational homology group of the moduli space of curves with level structures
• Higher-order signature cocycles for subgroups of mapping class groups and homology cylinders