The Mock Alexander Polynomial for Knotoids and Linkoids
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909222433718272 |
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| author | Ellis-Monaghan, Joanna A. Gügümcü, Neslihan Kauffman, Louis H. Moltmaker, Wout |
| author_facet | Ellis-Monaghan, Joanna A. Gügümcü, Neslihan Kauffman, Louis H. Moltmaker, Wout |
| contents | The mock Alexander polynomial is an extension of the classical Alexander polynomial, defined and studied for (virtual) knots and knotoids by the second and third authors. In this paper we consider the mock Alexander polynomial for generalizations of knotoids. We prove a conjecture on the mock Alexander polynomial for knotoids, which generalizes to uni-linkoids. Afterwards we give constructions for canonical invariants of linkoids derived from the mock Alexander polynomial, using the formalism of generalized knotoids due to Adams et al. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08253 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Mock Alexander Polynomial for Knotoids and Linkoids Ellis-Monaghan, Joanna A. Gügümcü, Neslihan Kauffman, Louis H. Moltmaker, Wout Geometric Topology 57K12, 57K14 The mock Alexander polynomial is an extension of the classical Alexander polynomial, defined and studied for (virtual) knots and knotoids by the second and third authors. In this paper we consider the mock Alexander polynomial for generalizations of knotoids. We prove a conjecture on the mock Alexander polynomial for knotoids, which generalizes to uni-linkoids. Afterwards we give constructions for canonical invariants of linkoids derived from the mock Alexander polynomial, using the formalism of generalized knotoids due to Adams et al. |
| title | The Mock Alexander Polynomial for Knotoids and Linkoids |
| topic | Geometric Topology 57K12, 57K14 |
| url | https://arxiv.org/abs/2406.08253 |