Non-kissing and non-crossing complexes for locally gentle algebras
Non-kissing and non-crossing complexes for locally gentle algebras
Starting from a locally gentle bound quiver, we define on the one hand a simplicial complex, called the non-kissing complex. On the other hand, we construct a punctured, marked, oriented surface with boundary, endowed with a pair of dual dissections. From those geometric data, we define two simplicial complexes: the …