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Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $\textrm {Out}(F_n)$.
・ISBN 978-1-4704-6698-5 paper US$ 85.00
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| 著者・編者 | Handel, Michael / Mosher, Lee, |
|---|---|
| シリーズ | Memoirs of the American Mathematical Society |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2024 |
| ページ数 | 170 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-719＞ |
解説
In this two part work we prove that for every finitely generated subgroup ? < Out(Fn), either ? is virtually abelian or H2 b (?; R) contains a vector space embedding of 1. The method uses actions on hyperbolic spaces. In Part I we focus on the case of infinite lamination subgroups ?-those for which the set of all attracting laminations of all elements of ? is an infinite set-using actions on free splitting complexes of free groups. In Part II we focus on finite lamination subgroups ? and on the construction of useful new hyperbolic actions of those subgroups.