A space of cyclohedra
type: Item
instance of: scholarly article
title: A space of cyclohedra
zbMATH Open document ID: 1027.52007
author: Satyan L. Devadoss
published in: Discrete \& Computational Geometry
publication date: 2003-03-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0102166
review text: The Deligne-Knudsen-Mumford moduli space \(\overline{{\mathcal M}}^n_0\) of marked points on the sphere can be described as an iterated blow-up of the projective sphere \(\mathbb{P} V^{n-2}\) along certain cells \(m_k\), with a tiling by \({1\over 2}(n- 1)!\) associahedra \(K_{n-1}\). Guided by this result, the author defines \(\overline{{\mathcal Z}}^n\) as the iterated blow-up of the torus \(\mathbb{L} V^n\) along certain cells \(m_k\), and shows that it has a tiling by \((n-1)!\) cyclohedra \(W_n\). The paper contains a short exploration of the structure of this space and concludes with a discussion of its possible role in knot theory and mathematical physics.
reviewed by: Charles Leytem
Mathematics Subject Classification ID: 52B11
zbMATH DE Number: 1883355
zbMATH Keywords: Coxeter group
zbMATH Keywords: moduli space
zbMATH Keywords: blow-up
zbMATH Keywords: associahedra
zbMATH Keywords: cyclohedra
MaRDI profile type: Publication
OpenAlex ID: W2109253491
arXiv ID: math/0102166
DOI: 10.1007/S00454-002-2810-8
description: scientific article