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arxiv: 1112.3685 · v2 · pith:DP5DH7YQnew · submitted 2011-12-15 · 🧮 math.GT

Cobordisms to weakly splittable links

classification 🧮 math.GT
keywords cobordismlinkweaklyadmitsalexandercobordismsflatgeneralises
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We show that if a link L with non-zero Alexander polynomial admits a locally flat cobordism to a `weakly m-split link', then the cobordism must have genus at least (m-1)/2. This generalises a recent result of J. Pardon.

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