Connectedness of the Cut System Complex on Nonorientable Surfaces
Loading...
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Kragujevac, Fac Science
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
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.
Description
Keywords
A nonorientable surface, cut system complex, Connectivity, a nonorientable surface, cut system complex, 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.)
Fields of Science
Citation
WoS Q
Q3
Scopus Q
Q1
OpenCitations Citation Count
N/A
Source
Kragujevac Journal of Mathematics
Volume
46
Issue
1
Start Page
21
End Page
28
PlumX Metrics
Citations
Scopus : 0
Page Views
3
checked on Mar 04, 2026
Google Scholar™
