Coordinate rings of some SL2-character varieties

Authors

  • Vicente Muñoz Departamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, Campus de Teatinos s/n, 29071 Málaga, Spain
  • Jesús Martín Ovejero Departamento de Mátemáticas, Facultad de Ciencias, Universidad de Salamanca, Plaza de la Merced 1, 37008 Salamanca, Spain

DOI:

https://doi.org/10.33044/revuma.3192

Abstract

We determine generators of the coordinate ring of SL2-character varieties. In the case of the free group F3 we obtain an explicit equation of the SL2-character variety. For free groups Fk, we find transcendental generators. Finally, for the case of the 2-torus, we get an explicit equation of the SL2-character variety and use the description to compute their E-polynomials.

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Published

2024-03-08

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