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arXiv:2309.00977 [math.AT]AbstractReferencesReviewsResources

Improved stability ranges in the homology of Torelli and congruence subgroups

Cihan Bahran

Published 2023-09-02Version 1

We improve the central stability ranges for +H2(Torelli subgroup of Aut(Fn)'s) as GL_n(Z)-representations, +H2(Torelli subgroup of mapping class groups) as Sp_2g(Z)-representations, +Hk(congruence subgroups of GL_n(R)'s) as SL_n^U(R/I)-representations.

Comments: 16 pages
Categories: math.AT, math.GR, math.GT, math.RT
Subjects: 20J06, 11F75, 18A25
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