Title page for ETD etd-05102012-234227


Type of Document Dissertation
Author Saenz Maldonado, Edgar Arturo
Author's Email Address easaenzm@vt.edu
URN etd-05102012-234227
Title On Nearly Euclidean Thurston Maps
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Floyd, William J. Committee Chair
Hagedorn, George A. Committee Member
Haskell, Peter E. Committee Member
Kay, Leslie D. Committee Member
Keywords
  • nonseparating sets
  • constant pullback map
  • finite subdivision rules
  • Thurston maps
Date of Defense 2012-05-01
Availability unrestricted
Abstract
Nearly Euclidean Thurston maps are simple generalizations of rational Lattes maps. A Thurston map is called nearly Euclidean if its local degree at each critical point is 2 and it has exactly four postcritical points. We investigate when such a map has the property that the associated pullback map on Teichmuller space is constant. We also show that no Thurston map of degree 2 has constant pullback map.
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