论文标题
摩尔斯炮击的光谱序列
Spectral sequences of a Morse shelling
论文作者
论文摘要
最近，我们引入了有限的相对简单复合物的几何实现的瓷砖概念，并将这些瓷砖与R. forman的离散摩尔斯理论相关联，尤其是当它们具有可壳的特性时，是经典可壳复合物共有的属性。现在，我们观察到，每个这样的瓷砖都支持一个颤抖的颤动，当瓷砖是可壳的，然后，每个炮击都会诱导两个频谱序列，这些频谱序列会收敛到复合物的相对（CO）同源性。他们的第一页是瓷砖临界瓷砖上的免费模块。
We recently introduced a notion of tilings of geometric realizations of finite relative simplicial complexes and related those tilings to the discrete Morse theory of R. Forman, especially when they have the property of being shellable, a property shared by the classical shellable complexes. We now observe that every such tiling supports a quiver which is acyclic precisely when the tiling is shellable and then, that every shelling induces two spectral sequences which converge to the relative (co)homology of the complex. Their first pages are free modules over the critical tiles of the tiling.
