论文标题
杯子产品和圆形配置空间的较高拓扑复杂性,有两个锚点
Cup products and the higher topological complexity of configuration spaces of the circle with two anchored points
论文作者
论文摘要
在本文中,我们展示了如何使用离散的Morse理论在圆圈的锚固配置空间中计算杯子产品。知道如何计算杯子产品使我们能够获得(较高)拓扑复杂性$ TC_S $的界限,这对于足够大的$ S $来说是锋利的。
In this paper we show how to compute cup products in the anchored configuration space of the circle with two anchored points using discrete Morse theory. Knowing how to compute cup products allows us to obtain bounds for the (higher) topological complexity $TC_s$, which are sharp for a sufficiently large value of $s$.