The abelianization of the level $L$ mapping class group

Mathematics – Geometric Topology

Scientific paper

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8 pages, 1 figure, fixed several typos and added several clarifications

Scientific paper

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 $g \geq 3$.

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