论文标题
通过Hooper-Thurston-Veech Construction，大型映射课程组中的Loxodromic元素
Loxodromic elements in big mapping class groups via the Hooper-Thurston-Veech construction
论文作者
论文摘要
令$ s $为无限型表面，$ p \ in S $。我们表明，适用于无限型表面的伪anosov元素的Thurston-Veech构造产生了无限的许多loxodromic元素，用于$ mod（s; p）$在loop groop $ l（s; p）上的作用（s; p）$，这些元素不会留下任何有限的有限量subsurface $ s $ s'\ s $ s'\ s $ s'\ s $ s \ s $ s \ s'此外，用Bavard-Walker的语言，Thurston-Veech的构造产生了任何重量的肉质元素。由于Bavard和Walker的作品，任何$ mod（s; p）$的子组包含两个不同重量的“ Thurston-Deech Loxodromics”，都具有非平凡的准态性的无限维空间。
Let $S$ be an infinite-type surface and $p\in S$. We show that the Thurston-Veech construction for pseudo-Anosov elements, adapted for infinite-type surfaces, produces infinitely many loxodromic elements for the action of $Mod(S;p)$ on the loop graph $L(S;p)$ that do not leave any finite-type subsurface $S'\subset S$ invariant. Moreover, in the language of Bavard-Walker, Thurston-Veech's construction produces loxodromic elements of any weight. As a consequence of Bavard and Walker's work, any subgroup of $Mod(S;p)$ containing two "Thurston-Veech loxodromics" of different weight has an infinite-dimensional space of non-trivial quasimorphisms.
