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Region crossing change on surfaces

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Abstract

Region crossing change is a local operation on link diagrams. The behavior of region crossing change on \(S^2\) is well understood. In this paper, we study the behavior of (modified) region crossing change on higher genus surfaces.

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Acknowledgements

J. Cheng, J. Xu and J. Zheng are supported by an undergraduate research project of Beijing Normal University. Z. Cheng is supported by NSFC 11771042 and NSFC 12071034.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

    Jiawei Cheng, Jinwen Xu & Jieyao Zheng

  2. Laboratory of Mathematics and Complex Systems, School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

    Zhiyun Cheng

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  1. Jiawei Cheng
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  2. Zhiyun Cheng
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  3. Jinwen Xu
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  4. Jieyao Zheng
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Correspondence to Zhiyun Cheng.

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Cheng, J., Cheng, Z., Xu, J. et al. Region crossing change on surfaces. Math. Z. 300, 2289–2308 (2022). https://doi.org/10.1007/s00209-021-02867-8

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  • DOI: https://doi.org/10.1007/s00209-021-02867-8

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