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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On spun-normal and twisted squares surfaces


Author: Henry Segerman
Journal: Proc. Amer. Math. Soc. 137 (2009), 4259-4273
MSC (2000): Primary 57M99
Published electronically: July 15, 2009
MathSciNet review: 2538587
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Abstract: Given a 3 manifold $ M$ with torus boundary and an ideal triangulation, Yoshida and Tillmann give different methods to construct surfaces embedded in $ M$ from ideal points of the deformation variety. Yoshida builds a surface from twisted squares, whereas Tillmann produces a spun-normal surface. We investigate the relation between the generated surfaces and extend a result of Tillmann's (that if the ideal point of the deformation variety corresponds to an ideal point of the character variety, then the generated spun-normal surface is detected by the character variety) to the generated twisted squares surfaces.


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Additional Information

Henry Segerman
Affiliation: Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, Austin, Texas 78712-0257
Email: henrys@math.utexas.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-09-09960-2
PII: S 0002-9939(09)09960-2
Received by editor(s): October 10, 2008
Received by editor(s) in revised form: March 7, 2009
Published electronically: July 15, 2009
Additional Notes: The author was partially supported by an NSF-RTG postdoctoral fellowship.
Communicated by: Daniel Ruberman
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.