| Texto completo | |
| Autor(es): |
Korinman, Julien
;
Quesney, Alexandre
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Algebraic and Geometric Topology; v. 24, n. 4, p. 61-pg., 2024-01-01. |
| Resumo | |
We extend some results of Bonahon, Wong, Bullock and Turaev concerning the skein algebras of closed surfaces to L & ecirc;'s stated skein algebras associated to open surfaces. We prove that the stated skein algebra with deforming parameter + 1 embeds canonically into the center of the stated skein algebra whose deforming parameter is an odd root unity. We also construct an isomorphism between the stated skein algebra at + 1 and the algebra of regular functions of the relative SL 2 -character variety of the surface. As a result, we associate to each isomorphism class of irreducible or local representations of the stated skein algebra an invariant which is a point in the relative character variety. (AU) | |
| Processo FAPESP: | 18/19603-0 - Teoria de Homotopia e de Raizes, Topologia de Variedades, Espaços Estratificados, Formas Espaciais Esféricas e Sistemas Dinâmicos Topológicos. |
| Beneficiário: | Alexandre Thomas Guillaume Quesney |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |