Abstract
Coloured quiver mutation, introduced by Buan, A.B., Thomas, H (Adv. Math. 222(3), 971–995 2009), gives a combinatorial interpretation of tilting in higher cluster categories. In type A work of Baur, K., Marsh, B. (Trans. Am. Math. Soc. 360(11), 5789-5803 2008) shows that m-coloured quivers and m-coloured quiver mutations have a nice geometrical description, given in terms of \((m+2)\)-angulations of a regular polygon, and rotations of an m-diagonal. In this paper, using such correspondence, we describe presentations of braid groups of type A arising from coloured quivers of mutation type A.
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Open access funding provided by Aarhus Universitet Open access funding provided by Aarhus Universitet. This project was part of the author’s PhD, funded by the Faculty of Science studentship at University of East Anglia.
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Presented by: Karin Baur
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Morigi, D. Presentations of Braid Groups of Type A Arising from \((m+2)\)-angulations of Regular Polygons. Algebr Represent Theor 27, 1237–1265 (2024). https://doi.org/10.1007/s10468-024-10257-x
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DOI: https://doi.org/10.1007/s10468-024-10257-x