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Essential loops in taut
ideal triangulations
Saul Schleimer and Henry Segerman |
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Algebraic & Geometric Topology 20 (2020) 487–501
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Abstract |
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In this note we combinatorialise a technique of Novikov. We use this to prove that, in a three-manifold equipped with a taut ideal triangulation, any vertical or normal loop is nontrivial in the fundamental group. |
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Keywords
taut, ideal triangulations, essential loops
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Mathematical Subject Classification 2010
Primary: 57M05
Secondary: 57M20
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References |
Publication
Received: 10 March 2019
Revised: 31 May 2019
Accepted: 17 June 2019
Published: 23 February 2020
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Authors |
| Saul Schleimer | |
| Mathematics Institute University of Warwick Coventry United Kingdom |
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| http://homepages.warwick.ac.uk/~masgar/ | |
| Henry Segerman | |
| Department of Mathematics Oklahoma State University Stillwater, OK United States |
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| https://math.okstate.edu/people/segerman/ | |
