Holomorphic Explosions

12 Jan 2020 · Aslı Deniz, Carsten Lunde Petersen ·

This paper concerns the problem of extending the parameter domain of holomorphic motions to include isolated boundary points, punctures of the domains. Supposing that the parameter domain has an isolated boundary point $\lambda^*$, we explore the extension properties of the holomorphic motion to $\lambda^*$.