Uniqueness of Maximal Curve Systems on Punctured Projective Planes

Fuente: arXiv
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Main Authors: Chen, Xiao, Shen, Wujie
Format: Preprint
Published: 2025
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author Chen, Xiao
Shen, Wujie
author_facet Chen, Xiao
Shen, Wujie
contents We show that the maximal $1$-system of loops in a punctured projective plane is unique up to the mapping class group action if and only if the number of punctures is at most five.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17142
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Uniqueness of Maximal Curve Systems on Punctured Projective Planes
Chen, Xiao
Shen, Wujie
Geometric Topology
57K20
We show that the maximal $1$-system of loops in a punctured projective plane is unique up to the mapping class group action if and only if the number of punctures is at most five.
title Uniqueness of Maximal Curve Systems on Punctured Projective Planes
topic Geometric Topology
57K20
url https://arxiv.org/abs/2507.17142