论文标题
Deligne-Mumford Operad作为圆圈动作的琐碎
The Deligne-Mumford operad as a trivialization of the circle action
论文作者
论文摘要
我们证明，树状的Deligne-Mumford Operad是一个同质模型，用于在较高的小型小圆盘上进行圆圈的微不足道。我们的证明是基于涉及Nodal Annuli的几何论点。我们用作具有分析参数化边界的Riemann表面的高级框架小圆盘的模型。我们发展了拓扑模量问题的形式主义，以此作为适应Deligne-Mumford Operad的Orbifold性质的框架。
We prove that the tree-like Deligne-Mumford operad is a homotopical model for the trivialization of the circle in the higher-genus framed little discs operad. Our proof is based on a geometric argument involving nodal annuli. We use as a model for the higher-genus framed little discs an operad of Riemann surfaces with analytically parametrized boundary. We develop the formalism of topological moduli problems as a framework to accommodate the orbifold nature of the Deligne-Mumford operad.
