Dehn surgeries on the figure eight knot: an upper bound for the complexity
classification
🧮 math.GT
keywords
boundcomplexityeightfigureknotomegasurgeriesupper
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We establish an upper bound $\omega(p/q)$ on the complexity of manifolds obtained by $p/q$-surgeries on the figure eight knot. It turns out that if $\omega(p/q)\leqslant 12$, the bound is sharp.
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