Virtual Biquandle Cocycle Quiver Representations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866912715251908608 |
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| author | Bishop, Alexander Ceniceros, Jose Nelson, Sam |
| author_facet | Bishop, Alexander Ceniceros, Jose Nelson, Sam |
| contents | We introduce quiver representation-valued invariants of oriented virtual knots and links associated to a choice of finite virtual biquandle, abelian group, set of virtual Boltzmann weights, commutative unital ring and set of virtual biquandle endomorphisms. As an application we define new infinite families of polynomial virtual knot and link invariants via decategorification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13635 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Virtual Biquandle Cocycle Quiver Representations Bishop, Alexander Ceniceros, Jose Nelson, Sam Geometric Topology Quantum Algebra 57K12 We introduce quiver representation-valued invariants of oriented virtual knots and links associated to a choice of finite virtual biquandle, abelian group, set of virtual Boltzmann weights, commutative unital ring and set of virtual biquandle endomorphisms. As an application we define new infinite families of polynomial virtual knot and link invariants via decategorification. |
| title | Virtual Biquandle Cocycle Quiver Representations |
| topic | Geometric Topology Quantum Algebra 57K12 |
| url | https://arxiv.org/abs/2511.13635 |