Abstract
A topological variant of Galois theory, in which the monodromy group plays the role of the Galois group, is described. It turns out that there are topological restrictions on the way the Riemann surface of a function represented by quadratures covers the complex plane.
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This work was partially supported by Grant MBF000 from the International Science Foundation.
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Khovanskii, A.G. Topological obstructions to the representability of functions by quadratures. Journal of Dynamical and Control Systems 1, 91–123 (1995). https://doi.org/10.1007/BF02254657
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DOI: https://doi.org/10.1007/BF02254657