论文标题
还原性鲍尔 - 塞尔紧凑型的分层同喻类型
The stratified homotopy type of the reductive Borel-Serre compactification
论文作者
论文摘要
我们确定还原borel-serre紧凑型的出口路径$ \ infty $ - 类别是$ 1 $ - 类别的神经，纯粹是根据理性的抛物线亚组及其独立自由基定义的。直接的结果，我们确定了还原性的骨质serre紧凑型的基本群体，恢复了Ji-Murty-Saper-Scherk的结果，并且我们获得了还原性Borel-Serre紧凑型或骨的组合化合物的组合化合物，作为衍生功能的元素类别中的元素。
We identify the exit path $\infty$-category of the reductive Borel-Serre compactification as the nerve of a $1$-category defined purely in terms of rational parabolic subgroups and their unipotent radicals. As an immediate consequence, we identify the fundamental group of the reductive Borel-Serre compactification, recovering a result of Ji-Murty-Saper-Scherk, and we obtain a combinatorial incarnation of constructible complexes of sheaves on the reductive Borel-Serre compactification as elements in a derived functor category.
