模空间的镶嵌与镶嵌运算
Tessellations of Moduli Spaces and the Mosaic Operad
摘要：
我们构造了一个新的（循环）操作的“马赛克”定义的多边形标记对角线。它的基础（非球面）空间是穿孔黎曼球面的模空间的实点集，这些实点集自然地由Stasheff结合面平铺。我们（combinatorially）将其描述为迭代爆破，并表明他们的基本群形成一个类似于辫群的运算。
英文摘要：
We construct a new (cyclic) operad of `mosaics' defined by polygons with marked diagonals. Its underlying (aspherical) spaces are the sets of real points of the moduli space of punctured Riemann spheres, which are naturally tiled by Stasheff associahedra. We (combinatorially) describe them as iterated blow-ups and show that their fundamental groups form an operad with similarities to the operad of braid groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
