论文标题
非全能Quivers的分类：类型$ H_4 $，$ H_3 $和$ I_2（2N+1）$
Categorifications of Non-Integer Quivers: Types $H_4$, $H_3$ and $I_2(2n+1)$
论文作者
论文摘要
我们定义了具有实际权重的加权式砂纸的概念，并使用它来提供有限型Quivers Quivers $ H_4 $，$ H_3 $和$ I_2（2N+1）$的Quivers的分类。特别是（联合国折叠）分别诱导了与类型$ e_8 $，$ d_6 $和$ a_ {2n} $相关的类别中的半次动作。然后，我们在折叠式砂纸上定义了热带种子图案，其中包括$ c $ - 和$ g $ - 向量，并显示其与展开的兼容性。
We define the notion of a weighted unfolding of quivers with real weights, and use this to provide a categorification of mutations of quivers of finite types $H_4$, $H_3$ and $I_2(2n+1)$. In particular, the (un)folding induces a semiring action on the categories associated to the unfolded quivers of types $E_8$, $D_6$ and $A_{2n}$ respectively. We then define the tropical seed pattern on the folded quivers, which includes $c$- and $g$-vectors, and show its compatibility with the unfolding.
