Finite rigid subgraphs of pants graphs

Jesús Hernández Hernández; Christopher J. Leininger; Rasimate Maungchang

doi:10.1007/s10711-020-00555-1

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arXiv · 1907.12734

Finite rigid subgraphs of pants graphs

Jesús Hernández Hernández·Christopher J. Leininger·Rasimate Maungchang

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Abstract

Let $S_{g,n}$ be an orientable surface of genus $g$ with $n$ punctures. We identify a finite rigid subgraph $X_{g,n}$ of the pants graph $\mathcal P (S_{g,n})$, that is, a subgraph with the property that any simplicial embedding of $X_{g,n}$ into any pants graph $\mathcal P (S_{g',n'})$ is induced by an embedding $S_{g,n}\to S_{g',n'}$. This extends results of the third author for the case of genus zero surfaces.

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BibTeX RIS

Jesús Hernández Hernández, Christopher J. Leininger, Rasimate Maungchang. 2019-07-30. Finite rigid subgraphs of pants graphs. https://doi.org/10.1007/s10711-020-00555-1

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