论文标题
有效的平方砖表面计数，在层的连接组成部分中具有规定的真实和假想的叶面
Effective count of square-tiled surfaces with prescribed real and imaginary foliations in connected components of strata
论文作者
论文摘要
我们证明了一个有效的估计值，该估算值是在二次差异层的连接组件中的平方瓷砖表面数量的数量，其垂直和水平叶子属于规定的映射类基团轨道，并且最多具有$ l $ squares。该结果增强了Decroix，Goujard，Zograf，Zorich和作者的作品中的渐近计数公式。
We prove an effective estimate with a power saving error term for the number of square-tiled surfaces in a connected component of a stratum of quadratic differentials whose vertical and horizontal foliations belong to prescribed mapping class group orbits and which have at most $L$ squares. This result strengthens asymptotic counting formulas in work of Delecroix, Goujard, Zograf, Zorich, and the author.
