AI 中文总结
该研究确定亏格 $g \ge 2$ 的曲面映射类群约翰逊同态余核中的第一个伽罗瓦障碍，其由榎本-佐藤迹映射核中的项与闭曲面下消失的理想项之和构成。
AI 中文摘要
我们针对每个亏格 $g \ge 2$ 的曲面的映射类群，明确确定了约翰逊同态余核中的第一个伽罗瓦障碍，其被描述为两个性质差异显著的项之和：一个属于榎本-佐藤迹映射的核，另一个则属于在闭曲面情形下消失的某个理想。
英文摘要
We explicitly determine the first Galois obstruction in the cokernel of the Johnson homomorphism of the mapping class group of a surface of genus $g$, for every genus $g \ge 2$. It is described as a sum of two terms which are considerably different in character. One lies in the kernel of the Enomoto-Satoh trace map, whereas the other belongs to a certain ideal which vanishes upon passage to the closed surface case.
Comments28 pages
