论文标题
稳定地图Kontsevich空间的表示稳定性
Representation stability for the Kontsevich space of stable maps
论文作者
论文摘要
对于固定的代数品种$ x $，曲线类别$α\在n_1（x）$中以及\ in \ mathbb n $中的$ g \属属，我们考虑$ s_n $表示的顺序，从稳定映射的Kontsevich Space of stable Maps of stable Maps to $ x $，$ x $，$ x $，$ x $，$ x $ \ bar m_ f bar m_ v，g，g，n} $ a）中获得的顺序。使用有限集和溢流类别，我们证明了一种表示稳定性定理，该定理控制了这一件表示序列的行为，以足够大的$ n $。
For a fixed algebraic variety $X$, curve class $α\in N_1(X)$, and genus $g \in \mathbb N$, we consider the sequence of $S_n$ representations obtained from the homology of the Kontsevich space of stable maps to $X$, $\bar M_{g,n}(X,α)$. Using the category of finite sets and surjections, we prove a representation stability theorem that governs the behavior of this sequence of representations for $n$ sufficiently large.
