论文标题
框架映射类组的相对同源表示
Relative homological representations of framed mapping class groups
论文作者
论文摘要
令$σ$为具有任意框架的边界或标记点的表面。在本说明中，我们确定了相关的“构图映射类组”对$σ$相对于其边界（分别标记点）的同源性的作用，将图像描述为与经典旋转结构相关的特定交叉同构的内核。在使用作者的最新工作中，我们用它来描述相对时期的Abelian差异层的Orbifold基本组的单肌作用。
Let $Σ$ be a surface with either boundary or marked points, equipped with an arbitrary framing. In this note we determine the action of the associated "framed mapping class group" on the homology of $Σ$ relative to its boundary (respectively marked points), describing the image as the kernel of a certain crossed homomorphism related to classical spin structures. Applying recent work of the authors, we use this to describe the monodromy action of the orbifold fundamental group of a stratum of abelian differentials on the relative periods.
