Winding numbers and full extendibility in holomorphic motions-Reference-Cited by-同舟云学术

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Winding numbers and full extendibility in holomorphic motions

Published:2020-05-26 Issue:5 Volume:24 Page:109-117
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Jiang Yunping

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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

https://www.ams.org/ecgd/2020-24-05/S1088-4173-2020-00351-3/S1088-4173-2020-00351-3.pdf

Reference13 articles.

1. University Lecture Series;Ahlfors, Lars V.,2006

2. Holomorphic families of injections;Bers, Lipman;Acta Math.,1986

3. Extending holomorphic motions and monodromy;Beck, Michael;Ann. Acad. Sci. Fenn. Math.,2012

4. London Mathematical Society Student Texts;Casson, Andrew J.,1988

5. On the propagation of holomorphic motions;Chirka, E. M.;Dokl. Akad. Nauk,2004

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