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arxiv: 1603.04639 · v1 · pith:XQGZIND5new · submitted 2016-03-15 · 🧮 math.GT

Properties of minimal charts and their applications IV: Loops

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keywords minimalchartsexactlyloopswhiteapplicationschartclosed
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We investigate minimal charts with loops, a simple closed curve consisting of edges of label $m$ containing exactly one white vertex. We shall show that there does not exist any loop in a minimal chart with exactly seven white vertices in this paper.

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