## Khovanov homology for links in $\#^r(S^2\times S^1)$

*Willis, Michael*;

- Subject: 57M25, 57M27 | Mathematics - Geometric Topologyarxiv: Mathematics::Geometric Topology | Mathematics::Quantum Algebra | Mathematics::Symplectic Geometry

We revisit Rozansky's construction of Khovanov homology for links $L$ in $S^2\times S^1$, extending it to define Khovanov homology $Kh(L)$ for links in $M^r=\#^r(S^2\times S^1)$ for any $r$. The graded Euler characteristic of $Kh(L)$ recovers the evaluation of $L$ in th... View more

- References (4)
Lev Rozansky. A categorification of the stable su(2) Witten-Reshetikhin-Turaev invariant of links in S2 × S1. arXiv:1011.1958.

[RT91] N. Reshetikhin and V. G. Turaev. Invariants of three manifolds via link polynomials and quantum groups. Invent. Math., 103:547-597, 1991.

[Wen87] Hans Wenzl. On sequences of projections. C. R. Math. Rep. Acad. Sci. Canada, 9(1):5-9, 1987.

[Wil18] Michael Willis. A colored Khovanov spectrum and its tail for B-adequate links. Algebr. Geom. Topol., 18(3):1411-1459, 2018.

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