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Alternating links have at most polynomially many Seifert surfaces of fixed genus. (arXiv:1809.10996v1 [math.GT])
来源于:arXiv
Let $L$ be a non-split prime alternating link with $n>0$ crossings. We show
that for each fixed $g$, the number of genus-$g$ Seifert surfaces for $L$ is
bounded by an explicitly given polynomial in $n$. The result also holds for all
spanning surfaces of fixed Euler characteristic. Previously known bounds were
exponential. 查看全文>>
