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تسجيل مستخدم جديدThe abelianization of the level L mapping class group
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تأليف
Andrew Putman
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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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We calculate the first homology group of the mapping class group with coefficients in the first rational homology group of the universal abelian $Z / L Z$-cover of the surface. If the surface has one marked point, then the answer is $Q^{tau(L)}$, whe
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