# On the monodromy problem for the four-punctured sphere

@article{Menotti2014OnTM,
title={On the monodromy problem for the four-punctured sphere},
author={Pietro Menotti},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2014},
volume={47}
}
• P. Menotti
• Published 10 January 2014
• Mathematics
• Journal of Physics A: Mathematical and Theoretical
We consider the monodromy problem for the four-punctured sphere in which the character of one composite monodromy is fixed, by looking at the expansion of the accessory parameter in the modulus x directly, without taking the limit of the quantum conformal blocks for an infinite central charge. The integrals that appear in the expansion of the Volterra equation involve products of two hypergeometric functions to first order and up to four hypergeometric functions to second order. It is shown…

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