Monodromy representations associated with the Gauss hypergeometric function using integrals of a multivalued function

Abstract

We study monodromy representations associated with the Gauss hypergeometric fuction by using integrals of a multivalued function over several chains. In particular, we give a necessary and sufficient condition for the irreducibility, a concrete realization of the representation in each of the reducible cases, and a list of finite groups arising from the reducible cases. Mathematics Subject Classification 2000: 33C05, 33C06, 32S40 Running Head: Hypergeometric integrals

2 Figures and Tables

Cite this paper

@inproceedings{Mimachi2011MonodromyRA, title={Monodromy representations associated with the Gauss hypergeometric function using integrals of a multivalued function}, author={Katsuhisa Mimachi and Takeshi Sasaki}, year={2011} }