Fifteen problems about the mapping class groups

Nikolai V. Ivanov

Fifteen problems about the mapping class groups

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arxiv math/0608325 v1 pith:OFGJSJGY submitted 2006-08-14 math.GT math.GR

Fifteen problems about the mapping class groups

Nikolai V. Ivanov This is my paper

classification math.GT math.GR

keywords classgroupsmappingproblemsfifteenmathamerappear

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This paper presents fifteen problems about mapping class groups. It is an expanded and updated version of the author's preprint "Ten problems on the mapping class groups". The paper will appear in the book "Problems on Mapping Class Groups and Related Topics", ed. by B. Farb, Proc. Symp. Pure Math. series, Amer. Math. Soc.

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Abelianizations of finite-index subgroups of the handlebody group
math.GT 2026-07 accept novelty 6.0

For genus ≥ 4, meridian multitwists vanish in H_1 of any finite-index subgroup of the handlebody group, and subgroups containing the Torelli group, twist group, or Johnson kernel have trivial rational abelianization.