Geodesic
Essential loops in taut ideal triangulations
Schleimer, Saul1 ; Segerman, Henry2
1Mathematics Institute, University of Warwick, Coventry, United Kingdom
2Department of Mathematics, Oklahoma State University, Stillwater, OK, United States
Algebraic and Geometric Topology, Tome 20 (2020) no. 1, pp. 487-501
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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.

DOI : 10.2140/agt.2020.20.487
Classification : 57M05, 57M20
Keywords: taut, ideal triangulations, essential loops

Schleimer, Saul  1   ; Segerman, Henry  2

1 Mathematics Institute, University of Warwick, Coventry, United Kingdom
2 Department of Mathematics, Oklahoma State University, Stillwater, OK, United States 
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Schleimer, Saul; Segerman, Henry. Essential loops in taut ideal triangulations. Algebraic and Geometric Topology, Tome 20 (2020) no. 1, pp. 487-501. doi: 10.2140/agt.2020.20.487

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