论文标题
大型翻转图及其自动形态群体
Big Flip Graphs and Their Automorphism Groups
论文作者
论文摘要
在本文中，我们研究了无限型表面的映射类组与同时的翻转图之间的关系，这是Fossas和Parlier定义的无限型表面的翻转图的变体。我们表明，与有限型情况不同的是，扩展的映射类组是翻转图的自动形态组的适当亚组。这表明，伊万诺夫的metaconjjecture指出，与有限型表面相关的任何“足够富富的”对象都将扩展的映射类组作为其自动形态群，并未扩展到无限型表面的同时翻转图。
In this paper, we study the relationship between the mapping class group of an infinite-type surface and the simultaneous flip graph, a variant of the flip graph for infinite-type surfaces defined by Fossas and Parlier. We show that the extended mapping class group is isomorphic to a proper subgroup of the automorphism group of the flip graph, unlike in the finite-type case. This shows that Ivanov's metaconjecture, which states that any "sufficiently rich" object associated to a finite-type surface has the extended mapping class group as its automorphism group, does not extend to simultaneous flip graphs of infinite-type surfaces.
