The irreducibility of the monodromy representation associated with the Dotsenko-Fateev equation

DOI10.1007/s00220-024-04942-7OpenAlexW4392374158MaRDI QIDQ6121675

Katsuhisa Mimachi

Publication date: 26 March 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-024-04942-7

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

• Unnamed Item
• Unnamed Item
• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Intersection numbers of twisted cycles and the correlation functions of the conformal field theory
• Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory
• Middle convolution of Fuchsian systems and the construction of rigid differential systems
• A study of a Fuchsian system of rank 8 in 3 variables and the ordinary differential equations as its restrictions
• ON A FUNDAMENTAL SET OF SOLUTIONS TO THE GENERALIZED HYPERGEOMETRIC EQUATION <b><i>_n</i></b><b>₊</b>₁<b><i>E</i></b><b><i>_n</i></b>PRESENTED BY INTEGRALS OF EULER TYPE
• A generalization of Kita and Noumi’s vanishing theorems of cohomology groups of local system
• Intersection theory for loaded cycles IV— resonant cases
• Nakagiri's Monodromy Representations Associated with Appell's Hypergeometric Functions <i>F</i>₂ and <i>F</i>₃
• Intersection Theory for Twisted Cycles
• Intersection Theory for Twisted Cycles II ‐ Degenerate Arrangements
• Rigid Local Systems. (AM-139)
• MONODROMY REPRESENTATIONS ASSOCIATED WITH THE GAUSS HYPERGEOMETRIC FUNCTION USING INTEGRALS OF A MULTIVALUED FUNCTION
• IRREDUCIBILITY AND REDUCIBILITY OF LAURICELLA' S SYSTEM OF DIFFERENTIAL EQUATIONS ED AND THE JORDAN-POCHHAMMER DIFFERENTIAL EQUATION EJP
• MONODROMY REPRESENTATIONS ASSOCIATED WITH APPELL' S HYPERGEOMETRIC FUNCTION F1 USING INTEGRALS OF A MULTIVALUED FUNCTION
• Prolongability of Ordinary Differential Equations
• REGULARIZABLE CYCLES ASSOCIATED WITH A SELBERG TYPE INTEGRAL UNDER SOME RESONANCE CONDITION

This page was built for publication: The irreducibility of the monodromy representation associated with the Dotsenko-Fateev equation