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23-25 octobre 2017
Université d'Angers
Europe/Paris timezone
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Contribution

Parabolic implosion surgery and twist deformation of rational maps.

Intervenant(s)

  • Guizhen CUI

Auteurs principaux

  • Guizhen CUI (Academy of Mathematics and Systems Science, Chinese Academy of Sciences)

Description

Consider the Riemann surfaces of a geometrically finite rational map. A repeated Dehn twist will produce a sequence of rational maps in its moduli space. We will prove that this sequence is convergent under certain condition. The proof involves iteration on Teichmuller spaces and a surgery perturbation which realize a parabolic implosion.