English

Region crossing change on surfaces

Geometric Topology 2026-05-26 v1

Abstract

Region crossing change is a local operation on link diagrams. The behavior of region crossing change on S2S^2 is well understood. In this paper, we study the behavior of (modified) region crossing change on higher genus surfaces.

Cite

@article{arxiv.1908.06864,
  title  = {Region crossing change on surfaces},
  author = {Jiawei Cheng and Zhiyun Cheng and Jinwen Xu and Jieyao Zheng},
  journal= {arXiv preprint arXiv:1908.06864},
  year   = {2026}
}

Comments

20 pages, 13 figures

R2 v1 2026-06-23T10:51:09.003Z