Geodesic
Infima of length functions and dual cube complexes
Gaster, Jonah1
1Department of Mathematics, Boston College, 140 Commonwealth Avenue, Chestnut Hill, MA 02467, United States
Algebraic and Geometric Topology, Tome 17 (2017) no. 2, pp. 1041-1057
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In the presence of certain topological conditions, we provide lower bounds for the infimum of the length function associated to a collection of curves on Teichmüller space that depend on the dual cube complex associated to the collection, a concept due to Sageev. As an application of our bounds, we obtain estimates for the “longest” curve with k self-intersections, complementing work of Basmajian [J. Topol. 6 (2013) 513–524].

DOI : 10.2140/agt.2017.17.1041
Classification : 51M10, 51M16
Keywords: closed curves on surfaces, hyperbolic surfaces, CAT(0) cube complexes, surface groups

Gaster, Jonah  1

1 Department of Mathematics, Boston College, 140 Commonwealth Avenue, Chestnut Hill, MA 02467, United States 
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Gaster, Jonah. Infima of length functions and dual cube complexes. Algebraic and Geometric Topology, Tome 17 (2017) no. 2, pp. 1041-1057. doi: 10.2140/agt.2017.17.1041

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