The monodromy representation of Lauricella's hypergeometric function F_C
Y Goto - arXiv preprint arXiv:1403.1654, 2014 - arxiv.org
Y Goto
arXiv preprint arXiv:1403.1654, 2014•arxiv.orgWe 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 …
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 …
We study the monodromy representation of the system of differential equations annihilating Lauricella's hypergeometric function of variables. Our representation space is the twisted homology group associated with an integral representation of . We find generators of the fundamental group of the complement of the singular locus of , 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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