Surface cluster algebra expansion formulae via loop graphs
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866916072559476736 |
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| author | Wilson, Jon |
| author_facet | Wilson, Jon |
| contents | In 2011 Musiker, Schiffler and Williams obtained expansion formulae for cluster algebras from orientable surfaces. For singly and doubly notched arcs these formulae required the notion of $γ$-symmetric perfect matchings and $γ$-compatible pairs of $γ$-symmetric perfect matchings, respectively. We simplify and unify these approaches by considering good matchings of loop graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_13218 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Surface cluster algebra expansion formulae via loop graphs Wilson, Jon Combinatorics Representation Theory In 2011 Musiker, Schiffler and Williams obtained expansion formulae for cluster algebras from orientable surfaces. For singly and doubly notched arcs these formulae required the notion of $γ$-symmetric perfect matchings and $γ$-compatible pairs of $γ$-symmetric perfect matchings, respectively. We simplify and unify these approaches by considering good matchings of loop graphs. |
| title | Surface cluster algebra expansion formulae via loop graphs |
| topic | Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2006.13218 |