Invariants for singular links via the two parameter bt-algebra
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917662770069504 |
|---|---|
| author | Flores, Marcelo Roque-Marquez, Christopher |
| author_facet | Flores, Marcelo Roque-Marquez, Christopher |
| contents | We construct a new invariant of singular links through representations of the singular braid monoid into the two parameters bt-algebra. Additionally, we recover this invariant by using the approach of Paris and Rabenda. Hence, we introduce the so called two parameter Singular bt-algebra. Finally, we provide the skein relations that define our invariant, and we prove that this invariant is more powerful than previous invariants of singular links in literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06496 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariants for singular links via the two parameter bt-algebra Flores, Marcelo Roque-Marquez, Christopher Geometric Topology Rings and Algebras 57K12, 57K14, 20F36 We construct a new invariant of singular links through representations of the singular braid monoid into the two parameters bt-algebra. Additionally, we recover this invariant by using the approach of Paris and Rabenda. Hence, we introduce the so called two parameter Singular bt-algebra. Finally, we provide the skein relations that define our invariant, and we prove that this invariant is more powerful than previous invariants of singular links in literature. |
| title | Invariants for singular links via the two parameter bt-algebra |
| topic | Geometric Topology Rings and Algebras 57K12, 57K14, 20F36 |
| url | https://arxiv.org/abs/2405.06496 |