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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2006.13218 |
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Table of 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.