| dc.contributor.author | Adams, Colin | |
| dc.contributor.author | Bonat, Alexandra | |
| dc.contributor.author | Chande, Maya | |
| dc.contributor.author | Chen, Joye | |
| dc.contributor.author | Jiang, Maxwell | |
| dc.contributor.author | Romrell, Zachary | |
| dc.contributor.author | Santiago, Daniel | |
| dc.contributor.author | Shapiro, Benjamin | |
| dc.contributor.author | Woodruff, Dora | |
| dc.date.accessioned | 2025-06-30T14:16:12Z | |
| dc.date.available | 2025-06-30T14:16:12Z | |
| dc.date.issued | 2024-07-15 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/159828 | |
| dc.description.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. | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s40879-024-00755-z | en_US |
| dc.rights | 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. | en_US |
| dc.source | Springer International Publishing | en_US |
| dc.title | Hyperbolic knotoids | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Adams, C., Bonat, A., Chande, M. et al. Hyperbolic knotoids. European Journal of Mathematics 10, 43 (2024). | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | European Journal of Mathematics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2025-03-27T13:50:18Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s), under exclusive licence to Springer Nature Switzerland AG | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2025-03-27T13:50:18Z | |
| mit.journal.volume | 10 | en_US |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
