Hidden symmetries via hidden extensions
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- by Eric Chesebro and Jason DeBlois PDF
- Proc. Amer. Math. Soc. 145 (2017), 3629-3644 Request permission
Abstract:
This paper introduces a new approach to finding knots and links with hidden symmetries using “hidden extensions”, a class of hidden symmetries defined here. We exhibit a family of tangle complements in the ball whose boundaries have symmetries with hidden extensions; then we further extend these to hidden symmetries of some hyperbolic link complements.References
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Additional Information
- Eric Chesebro
- Affiliation: Department of Mathematical Sciences, University of Montana, 32 Campus Drive #0864, Missoula, Montana 59812-0864
- MR Author ID: 758655
- Email: Eric.Chesebro@mso.umt.edu
- Jason DeBlois
- Affiliation: Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, Pennsyvania 15260
- MR Author ID: 785234
- Email: jdeblois@pitt.edu
- Received by editor(s): January 10, 2015
- Received by editor(s) in revised form: July 27, 2016, and September 20, 2016
- Published electronically: March 23, 2017
- Communicated by: Kevin Whyte
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3629-3644
- MSC (2010): Primary 57M10; Secondary 22E40, 57M25
- DOI: https://doi.org/10.1090/proc/13486
- MathSciNet review: 3652814