Abstract
In this paper, we consider conditions under which a holomorphic motion of a closed subset of $\mathbf{Ĉ}$ over a non-simply connected Riemann surface $X$ can be extended to a holomorphic motion of $\mathbf{Ĉ}$ over $X$. We construct examples of non-extendable holomorphic motions which satisfy fairy good topological conditions. The examples are also counter-examples to a claim by Chirka for the extendability of holomorphic motions.
Citation
Hiroshige Shiga. "A note on the extendability of holomorphic motions." Kodai Math. J. 43 (1) 162 - 169, March 2020. https://doi.org/10.2996/kmj/1584345692