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arXiv · 2212.00220

Cup products and the higher topological complexity of configuration spaces of the circle with two anchored points

Teresa I. Hoekstra-Mendoza
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Abstract

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 $s$.

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BibTeXRIS

Teresa I. Hoekstra-Mendoza. 2022-12-01. Cup products and the higher topological complexity of configuration spaces of the circle with two anchored points. https://arxiv.org/abs/2212.00220

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