• Corpus ID: 214795044

Khovanov invariants via Fukaya categories: the tangle invariants agree

  title={Khovanov invariants via Fukaya categories: the tangle invariants agree},
  author={Artem Kotelskiy and Liam Watson and Claudius Zibrowius},
  journal={arXiv: Geometric Topology},
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. 
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  • J. Knot Theory Ramifications, 23(2):1450013,
  • 2014