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The braid group for a quiver with superpotential

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Abstract

We survey various generalizations of braid groups for quivers with superpotential and focus on the cluster braid groups, which are introduced in a joint work with King (2018). Our motivations come from the study of cluster algebras, Calabi-Yau categories and Bridgeland stability conditions.

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Acknowledgements

The author thanks his collaborators Alastair King, Jon Woolf and Yu Zhou for collaborating with him on the topic of braid groups. The author also thanks Fang Li, Zongzhu Lin and Bin Zhu, the organizers of the International Workshop on Cluster Algebras in Naikai University, Tianjin (2017), for inviting him writing this article contributing to this special topic.

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Authors and Affiliations

  1. Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

    Yu Qiu

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  1. Yu Qiu
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Correspondence to Yu Qiu.

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Qiu, Y. The braid group for a quiver with superpotential. Sci. China Math. 62, 1241–1256 (2019). https://doi.org/10.1007/s11425-018-9503-2

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  • DOI: https://doi.org/10.1007/s11425-018-9503-2

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