Introduction to geodesic currents
Channel: Dídac Martínez-Granado
Date: 2022-09-10

Introductory talk about measured laminations and geodesic currents for NCNGT 2022.

References for measured laminations:
Book: Combinatorics of train tracks, Penner and Harer, Annals of Mathematics Studies, 125, Princeton University Press
Book: Hyperbolic manifolds and discrete groups, Michael Kapovich, Birkauser, Springer, 2010
Notes: Closed curves on surfaces, Bonahon (available on Bonahon's website)
Notes: Geometric Structures on 3-manifolds, Bonahon, Handbook of Geometric Topology (R. Daverman, R. Sher eds.), Elsevier, 2002
Book (for measured foliation approach): Thurston's Work on Surfaces,  Fathi, Albert; Laudenbach, Francois; Poenaru, Valentin; (translated by Kim, Djun M.; Margalit, Dan),
Published by Princeton University Press, 2012

References for geodesic currents:
Book: Mirzakhani’s Curve Counting and Geodesic Currents, Viveka Erlandsson and Juan Souto, Birkauser, Springer, 2022 (will appear in October 2022).
Notes: Ends of hyperbolic 3–manifolds, Bonahon, (translated by I.Irmer, P.Przytycki and S.Tapie, available on Przytycki's website)
Paper: The geometry of Teichmüller space via geodesic currents, Bonahon, Inventiones mathematicae volume 92