On the maximal degree of the Khovanov homology
classification
🧮 math.GT
keywords
knotdegreehomologykhovanovmaximalboundcrossinggives
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It is known that the maximal homological degree of the Khovanov homology of a knot gives a lower bound of the minimal positive crossing number of the knot. In this paper, we show that the maximal homological degree of the Khovanov homology of a cabling of a knot gives a lower bound of the minimal positive crossing number of the knot.
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