Hyperbolic knotoids
Name
40879_2024_755_ReferencePDF.pdf
Size
7.18 MB
Format
Adobe PDF
Checksum (MD5)
1aa808e00f2f4ccb3ccc84f893b7d930
Author(s)
Adams, Colin
Bonat, Alexandra
Chande, Maya
Chen, Joye
Jiang, Maxwell
Romrell, Zachary
Santiago, Daniel
Shapiro, Benjamin
Woodruff, Dora
Date Issued
July 15, 2024
Journal
European Journal of Mathematics
Publisher
Springer International Publishing
Citation
Adams, C., Bonat, A., Chande, M. et al. Hyperbolic knotoids. European Journal of Mathematics 10, 43 (2024).
Version
Author's final manuscript
Abstract
In 2010, Turaev introduced knotoids as a variation on knots that replaces the embedding of a circle with the embedding of a closed interval with two endpoints. A variety of knot invariants have been extended to knotoids. Here we provide definitions of hyperbolicity for both spherical and planar knotoids. We prove that the product of hyperbolic spherical knotoids is hyperbolic and the volumes add. We also determine the least volume of a rational spherical knotoid and provide various classes of hyperbolic knotoids. We also include tables of hyperbolic volumes for both spherical and planar knotoids.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s40879-024-00755-z
