Baader, Sebastian; Kjuchukova, Alexandra (2020). Symmetric quotients of knot groups and a filtration of the Gordian graph. Mathematical proceedings of the Cambridge Philosophical Society, 169(1), pp. 141-148. Cambridge University Press 10.1017/s0305004119000136
|
Text
symmetric-quotients-of-knot-groups-and-a-filtration-of-the-gordian-graph.pdf - Published Version Available under License Publisher holds Copyright. Download (292kB) | Preview |
|
|
Text
1711.08144.pdf - Submitted Version Available under License Publisher holds Copyright. Download (295kB) | Preview |
We define a metric filtration of the Gordian graph by an infinite family of 1-dense subgraphs. The nth subgraph of this family is generated by all knots whose fundamental groups surject to a symmetric group with parameter at least n, where all meridians are mapped to transpositions. Incidentally, we verify the Meridional Rank Conjecture for a family of knots with unknotting number one yet arbitrarily high bridge number.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Baader, Sebastian |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0305-0041 |
Publisher: |
Cambridge University Press |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
27 Jan 2021 16:46 |
Last Modified: |
12 Apr 2024 00:25 |
Publisher DOI: |
10.1017/s0305004119000136 |
ArXiv ID: |
1711.08144 |
Uncontrolled Keywords: |
57M25 |
BORIS DOI: |
10.48350/151219 |
URI: |
https://boris.unibe.ch/id/eprint/151219 |
Actions (login required)
 |
Edit item |