Birack Bracket Quivers and Framed Links
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910013800316928 |
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| author | Nelson, Sam Tang, Haoqi Tom |
| author_facet | Nelson, Sam Tang, Haoqi Tom |
| contents | We introduce birack brackets, skein invariants of birack-colored framed classical and virtual knots and links with values in a commutative unital ring. The multiset of birack bracket values over the homset from a framed link's fundamental birack then forms an invariant of framed links. We then categorify this multiset to define a quiver-valued invariant of framed knots and links. From this quiver we define new polynomial invariants of framed knots and links. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Birack Bracket Quivers and Framed Links Nelson, Sam Tang, Haoqi Tom Geometric Topology Quantum Algebra 57K12 We introduce birack brackets, skein invariants of birack-colored framed classical and virtual knots and links with values in a commutative unital ring. The multiset of birack bracket values over the homset from a framed link's fundamental birack then forms an invariant of framed links. We then categorify this multiset to define a quiver-valued invariant of framed knots and links. From this quiver we define new polynomial invariants of framed knots and links. |
| title | Birack Bracket Quivers and Framed Links |
| topic | Geometric Topology Quantum Algebra 57K12 |
| url | https://arxiv.org/abs/2511.13631 |