论文标题
椭圆形的助理
Ellipsitomic Associators
论文作者
论文摘要
我们通过奥尔特拉理论提出了椭圆形相关者的概念。我们借此机会审查了关于德林菲尔德伙伴的大型观察点，并为椭圆形副人提供了这种运营方法。然后，我们证明，使用通用椭圆形的KZB连接的单片，确实存在椭圆形的助理。我们最终将KZB椭圆形关联与某些与$ sl_2（\ Mathbb {z}）$的一致性子组相关的Eisenstein系列和扭曲椭圆形多个Zeta值相关。
We develop a notion of ellipsitomic associators by means of operad theory. We take this opportunity to review the operadic point-of-view on Drinfeld associators and to provide such an operadic approach for elliptic associators too. We then show that ellipsitomic associators do exist, using the monodromy of the universal ellipsitomic KZB connection, that we introduced in a previous work. We finally relate the KZB ellipsitomic associator to certain Eisenstein series associated with congruence subgroups of $SL_2(\mathbb{Z})$, and to twisted elliptic multiple zeta values.
