On spun-normal and twisted squares surfaces

Henry Segerman

doi:10.1090/s0002-9939-09-09960-2

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arXiv · 0810.1256

On spun-normal and twisted squares surfaces

Henry Segerman

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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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Henry Segerman. 2008-10-07. On spun-normal and twisted squares surfaces. https://doi.org/10.1090/s0002-9939-09-09960-2

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