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Recent progress in classification of regular maps on a given compact surface
Affiliation:1. Fundación Universitaria Konrad Lorenz, C.P. 110231, Bogotá, Colombia;2. Centro de Ciencias Matemáticas, UNAM, Campus Morelia, C.P. 58190, Morelia, Michoacán, Mexico;1. Computer Science Department, IT University of Copenhagen, Denmark;2. Departamento de Ciência da Computação, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil;3. LIRMM, Université de Montpellier, CNRS, Montpellier, France;4. Instituto de Computação, Universidade Federal Fluminense, Niterói, Brazil;5. Institute of Informatics, University of Warsaw, Warsaw, Poland;6. Department of Mathematics, Indian Institute of Science Education and Research Pune, Pune, India;1. Mathematical Institute, Graduate School of Science, Tohoku University, 6-3 Aoba, Sendai, 980-8578, Japan;2. School of Mathematical Sciences, LMNS, Fudan University, Shanghai, 200433, China;3. Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, 200433, China
Abstract:We give a brief overview of the state-of-the art of clasification of regular maps on a given compact surface and outline recent results for surfaces of Euler characteristic equal to the negative of a small multiple of a prime.
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