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arXiv · 2311.11409

The fundamental group of compact Riemann surface

Yaacov Kopeliovich
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Abstract

We derive presentation and relations for a group of compact Riemann surface that is given as branched cover of the sphere. In the case that one of the permutations is of full cycle of the form $(1...n)$ we derive a straightforward process to obtain the standard presentation of the fundamental group of Algebraic curve in the form $\prod_{i=1}^g[a_i,b_i]=1$

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Yaacov Kopeliovich. 2023-11-19. The fundamental group of compact Riemann surface. https://arxiv.org/abs/2311.11409

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