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arXiv · 2309.17148

Configuration spaces of labeled points on a circle with two anchors

Dmitry N. Kozlov
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Abstract

In this paper we calculate the homology of configuration spaces of $n$ points on a circle, subject to the condition that two pre-determined points are included in the configuration. We make use of discrete Morse theory both to determine the Betti numbers, as well as to provide an explicit combinatorial description of the bases both for homology and cohomology.

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Dmitry N. Kozlov. 2023-09-29. Configuration spaces of labeled points on a circle with two anchors. https://arxiv.org/abs/2309.17148

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