We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Left orderability and cyclic branched coverings of rational knots C(2p,2m,2n+1).
- Authors
Meyer, Bradley; Tran, Anh T.
- Abstract
We consider cyclic branched coverings of a 3-parameter family of rational knots in S 3 and study the left orderability of their fundamental groups. We first compute the nonabelian SL 2 (ℂ) -character varieties of the rational knots C (2 p , 2 m , 2 n + 1) in the Conway notation, where p , m , n are integers. We then study real points on these varieties and finally use them to determine the left orderability of the fundamental groups of cyclic branched coverings of C (2 p , 2 m , 2 n + 1).
- Subjects
CYCLIC groups; CYCLIC codes; FUNDAMENTAL groups (Mathematics); INTEGERS; NONABELIAN groups
- Publication
Journal of Knot Theory & Its Ramifications, 2023, Vol 32, Issue 10, p1
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216523500621