非定向曲面上割系统复合体的连通性

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2022-02-01 DOI:10.46793/kgjmat2201.021a

Fatema Ali, F. Atalan

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摘要

设N为g属的紧致、连通、不可定向曲面，有N个边界分量。在本文中，我们证明了N的切割系统复合体在g < 4时是连通的，在g≥4时是不连通的。然后我们定义一个相关复合体，并证明当g≥4时它是连通的。

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CONNECTEDNESS OF THE CUT SYSTEM COMPLEX ON NONORIENTABLE SURFACES

Let N be a compact, connected, nonorientable surface of genus g with n boundary components. In this note, we show that the cut system complex of N is connected for g < 4 and disconnected for g ≥ 4. We then deﬁne a related complex and show that it is connected for g ≥ 4.

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