Connectedness of the Cut System Complex on Nonorientable Surfaces
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Authors: F. ALI AND F. ATALAN
DOI: 10.46793/KgJMat2201.021A
Abstract:
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.
Keywords:
A nonorientable surface, cut system complex.
References:
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