Khovanov invariants via Fukaya categories: the tangle invariants agree
| Autor: | Kotelskiy, Artem, Watson, Liam, Zibrowius, Claudius |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Given a pointed 4-ended tangle $T \subset D^3$, there are two Khovanov theoretic tangle invariants, $\unicode{1044}_1(T)$ from [arXiv:1910.1458] and $L_T$ from [arXiv:1808.06957], which are twisted complexes over the Fukaya category of the boundary 4-punctured sphere $(S^2,4\text{pt})=\partial (D^3, T)$. We prove that these two invariants are the same. Comment: 14 pages, 11 figures, uses TikZ and PSTricks. C++ program provided via ancillary files. Comments welcome! |
| Databáze: | arXiv |
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