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

Preprint English OPEN
Willis, Michael;
(2018)
  • Subject: 57M25, 57M27 | Mathematics - Geometric Topology
    arxiv: 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
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