Parametric description of fullerene and orbifold
Presented by Prof. Mathieu DUTOUR SIKIRIć
Type: Oral presentation
Track: Representations of Graphs
Fullerenes are 3-regular graphs with faces of size 5 or 6. The number of 5-gons is necessarily 12 and the relative position of them allows to parametrize the fullerenes in term of 10 complex parameters. Such set of parameters is not unique and the group acting on them is one of the Mostow monodromy groups. Such parametrization was introduced by Thurston and unifies a variety of previous existing results. In particular we have a description of the singularities of the orbifold and subsequent spectral results.