Framed Knotoids and Their Quantum Invariants
| Authors | |
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| Publication date | 07-2022 |
| Journal | Communications in Mathematical Physics |
| Volume | Issue number | 393 | 2 |
| Pages (from-to) | 1035-1061 |
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| Abstract | We modify the definition of spherical knotoids to include a framing, in analogy to framed knots, and define a further modification that includes a secondary ‘coframing’ to obtain ‘biframed’ knotoids. We exhibit topological spaces whose ambient isotopy classes are in one-to-one correspondence with framed and biframed knotoids respectively. We then show how framed and biframed knotoids allow us to generalize quantum knot invariants to a knotoid setting, leading to the construction of general Reshetikhin-Turaev type biframed knotoid invariants. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s00220-022-04382-1 |
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Framed Knotoids and Their Quantum Invariants
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