English

Winding Numbers And Full Extendibility in Holomorphic Motions

Complex Variables 2020-06-02 v2

Abstract

We construct an example of a holomorphic motion of a five-point subset of the Riemann sphere over an annulus such that it satisfies the zero winding number condition but is not fully extendable.

Cite

@article{arxiv.1804.04067,
  title  = {Winding Numbers And Full Extendibility in Holomorphic Motions},
  author = {Yunping Jiang},
  journal= {arXiv preprint arXiv:1804.04067},
  year   = {2020}
}

Comments

9 pages, 4 figures

R2 v1 2026-06-23T01:20:40.660Z