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- W2786402394 abstract "Let $M$ be a simply connected closed $4$-manifold. It is proved that any (possibly finite) compact Lie group acting effectively and homologically trivially on $M$ by homeomorphisms is an abelian group of rank at most two. As applications, let $mathrm{Aut}(F_{n})$ be the automorphism group of the free group of rank $n.$ We prove that any group action of $mathrm{Aut}% (F_{n})$ $(ngeq 4)$ on $Mneq S^{4}$ by homologically trivial homeomorphisms factors through $mathbb{Z}/2.$ Moreover, any action of $% mathrm{SL}_{n}(mathbb{Q})$ $(ngeq 4)$ on $Mneq S^{4}$ by homeomorphisms is trivial." @default.
- W2786402394 created "2018-02-23" @default.
- W2786402394 creator A5086467528 @default.
- W2786402394 date "2018-02-05" @default.
- W2786402394 modified "2023-10-13" @default.
- W2786402394 title "Topological symmetries of simply-connected four-manifolds and actions of automorphism groups of free groups" @default.
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- W2786402394 doi "https://doi.org/10.48550/arxiv.1802.01757" @default.
- W2786402394 hasPublicationYear "2018" @default.
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