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Crossing-changeable braids from chromatic configuration spaces

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Abstract

Motivated by the work in Li et al. (2019), this paper deals with the theory of the braids from chromatic configuration spaces. These kinds of braids possess the property that some strings of each braid may intersect together and can also be untangled, so they are quite different from the ordinary braids in the sense of Artin (1925). This enriches and extends the theory of ordinary braids.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 11971112). The authors are very grateful to the referees for carefully reading this manuscript and providing a number of helpful suggestions, which led to this version.

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Correspondence to Hao Li.

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Li, H., Lü, Z. Crossing-changeable braids from chromatic configuration spaces. Sci. China Math. 64, 2077–2090 (2021). https://doi.org/10.1007/s11425-019-1652-8

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  • DOI: https://doi.org/10.1007/s11425-019-1652-8

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