Angle structures and normal surfaces
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- by Feng Luo and Stephan Tillmann PDF
- Trans. Amer. Math. Soc. 360 (2008), 2849-2866 Request permission
Abstract:
Let $M$ be the interior of a compact 3–manifold with boundary, and let $\mathcal {T}$ be an ideal triangulation of $M.$ This paper describes necessary and sufficient conditions for the existence of angle structures, semi–angle structures and generalised angle structures on $(M; \mathcal {T})$ respectively in terms of a generalised Euler characteristic function on the solution space of the normal surface theory of $(M; \mathcal {T}).$ This extends previous work of Kang and Rubinstein, and is itself generalised to a more general setting for 3–dimensional pseudo-manifolds.References
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Additional Information
- Feng Luo
- Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854
- MR Author ID: 251419
- Email: fluo@math.rutgers.edu
- Stephan Tillmann
- Affiliation: Départment de mathématiques, Université du Québec à Montréal, Case postale 8888, Succursale Centre-Ville, Montréal, Québec, Canada H3C 3P8
- MR Author ID: 663011
- ORCID: 0000-0001-6731-0327
- Email: tillmann@math.uqam.ca
- Received by editor(s): December 5, 2005
- Published electronically: January 7, 2008
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 2849-2866
- MSC (2000): Primary 57M25, 57N10
- DOI: https://doi.org/10.1090/S0002-9947-08-04301-8
- MathSciNet review: 2379778