无穷型曲面与图的映射类群的不亲和性

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2026-03-27 DOI:10.1112/blms.70345

Yusen Long

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引用次数: 0

摘要

本文完全确定了无限型曲面的映射类群——高阶局部有限无限图的映射类群的不可服从性，给出了一个粗糙有界生成的双曲波兰群的无穷点的不可服从稳定子的例子，并给出了一类树或秩一图的映射类群的可服从性。

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Non-amenability of mapping class groups of infinite-type surfaces and graphs

This paper completely determines the non-amenability of the mapping class groups of infinite-type surfaces, the mapping class groups of locally finite infinite graphs of higher ranks, gives an example of non-amenable stabiliser of a point at infinity of a coarsely bounded generated hyperbolic Polish group, and exhibits a class of mapping class groups of trees or rank-one graphs that are amenable.

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