论文标题
立方形式，取消异常和模块化
Cubic forms, anomaly cancellation and modularity
论文作者
论文摘要
由立方体形式和取消Witten弗雷德·霍普金斯的异常取消公式，我们在旋转，旋转$^c $，spin $^{w_2} $和可定位的12个manifolds上提供了一些新的立方形式。当歧管与边界与边界相关时，我们将它们与$η$ -Invariants联系起来，而当歧管为旋转$^c $或spin $^{w_2} $时，mod 2索引在10维特征submanifolds上。我们生产这些立方形式的方法是（广义）Witten类的组合以及Aggine $ e_8 $的基本表示的特征。
Motivated by the cubic forms and anomaly cancellation formulas of Witten-Freed-Hopkins, we give some new cubic forms on spin, spin$^c$, spin$^{w_2}$ and orientable 12-manifolds respectively. We relate them to $η$-invariants when the manifolds are with boundary, and mod 2 indices on 10 dimensional characteristic submanifolds when the manifolds are spin$^c$ or spin$^{w_2}$. Our method of producing these cubic forms is a combination of (generalized) Witten classes and the character of the basic representation of affine $E_8$.
