Abstract
We define two versions of the extremal length of elements of the fundamental group of the twice punctured complex plane and give upper and lower bounds for two versions of this invariant. The bounds differ by a multiplicative constant. The main motivation comes from 3-braid invariants and their application.
To the memory of my teacher and collaborator Viktor Havin,
his enthusiasm and his ability to convey a great feeling
of the beauty of mathematics
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Jöricke, B. (2018). Fundamental Groups, Slalom Curves and Extremal Length. In: Baranov, A., Kisliakov, S., Nikolski, N. (eds) 50 Years with Hardy Spaces. Operator Theory: Advances and Applications, vol 261. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-59078-3_15
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DOI: https://doi.org/10.1007/978-3-319-59078-3_15
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-59077-6
Online ISBN: 978-3-319-59078-3
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