Distinguishing Power of 4-Legendrian Permutation Racks
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914355023446016 |
|---|---|
| author | Ta, Luc Wood, Peyton Phinehas |
| author_facet | Ta, Luc Wood, Peyton Phinehas |
| contents | We study 4-Legendrian racks and their effectiveness at distinguishing Legendrian knots. We prove that permutation racks with 4-Legendrian rack structures cannot distinguish Legendrian knots that share the same knot type, Thurston-Bennequin number, and rotation number. However, they also recover these three classical invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26619 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Distinguishing Power of 4-Legendrian Permutation Racks Ta, Luc Wood, Peyton Phinehas Geometric Topology Quantum Algebra 57K10 (Primary) and 57K33 (Secondary) We study 4-Legendrian racks and their effectiveness at distinguishing Legendrian knots. We prove that permutation racks with 4-Legendrian rack structures cannot distinguish Legendrian knots that share the same knot type, Thurston-Bennequin number, and rotation number. However, they also recover these three classical invariants. |
| title | Distinguishing Power of 4-Legendrian Permutation Racks |
| topic | Geometric Topology Quantum Algebra 57K10 (Primary) and 57K33 (Secondary) |
| url | https://arxiv.org/abs/2510.26619 |