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arXiv · 1403.1654

The monodromy representation of Lauricella's hypergeometric function F_C

Yoshiaki Goto
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Abstract

We study the monodromy representation of the system $E_C$ of differential equations annihilating Lauricella's hypergeometric function $F_C$ of $m$ variables. Our representation space is the twisted homology group associated with an integral representation of $F_C$. We find generators of the fundamental group of the complement of the singular locus of $E_C$, and give some relations for these generators. We express the circuit transformations along these generators, by using the intersection forms defined on the twisted homology group and its dual.

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Yoshiaki Goto. 2014-03-07. The monodromy representation of Lauricella's hypergeometric function F_C. https://arxiv.org/abs/1403.1654

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