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math.CO2024★ 1 cited
Skein relations for punctured surfaces
Esther Banaian, Wonwoo Kang, Elizabeth Kelley
We investigate skein relations in cluster algebras from punctured surfaces, extending the work of Çanakçi-Schiffler and Musiker-Williams on unpunctured surfaces. Using a combinator…
math.CO2024
An elaborate new proof of Cayley's formula
Esther Banaian, Anh Trong Nam Hoang, Elizabeth Kelley +4
We construct a bijection between certain Deodhar components of a braid variety constructed from an affine Kac-Moody group of type and vertex-labeled trees on vertices…