Tessellations on surfaces from complex analytic functions
|
| Jesús Muciño Raymundo |
| UNAM-Morelia (México) |
| Abstract: |
| We describe the topology and geometry of complex analytic functions in one variable. In order to perform it, we associate a tessellation of the Riemann sphere to each function. This method allow us to describe complex polynomial, rational and even transcendental functions. |
| The method has its roots in the pioneering work of F. Klein, and remains as a current subject in several studies. |
| As one example, we consider a recent question by W. Thurston. |
