On spun-normal and twisted squares surfaces
نویسندگان
چکیده
منابع مشابه
On spun-normal and twisted squares surfaces
Yoshida in [6] and Tillmann in [3] describe di erent methods of producing surfaces within a 3-manifoldM with boundary from ideal points of the deformation variety of M , given a particular ideal tetrahedralisation of M . The Yoshida construction builds a surface from twisted squares within the tetrahedra, the Tillmann construction results in a spun-normal surface relative to the tetrahedra. In ...
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We give a simple sufficient condition for a spun-normal surface in an ideal triangulation to be incompressible, namely that it is a vertex surface with nonempty boundary which has a quadrilateral in each tetrahedron. While this condition is far from being necessary, it is powerful enough to give two new results: the existence of alternating knots with noninteger boundary slopes, and a proof of ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2009
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-09-09960-2