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arxiv: 1711.01550 · v1 · pith:XT3OF25Inew · submitted 2017-11-05 · 🧮 math.GT

On the Khovanov Homology of Surgeries

classification 🧮 math.GT
keywords khovanovhomologylinkrationalsurgeriesadmissiblealongcomplexes
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We show a spectral sequence for the rational Khovanov homology of an oriented link in terms of the rational Khovanov complexes and homologies of the link surgeries along an admissible cut. As a non trivial corollary, we give an explicit splitting formula for the Jones polynomial.

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