Twisted period relations for Lauricella's hypergeometric functions \(F_A\)

zbMath1336.33031arXiv1310.6088MaRDI QIDQ888457

Yoshiaki Goto

Publication date: 30 October 2015

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6088

zbMATH Keywords

Appell functionstwisted cohomology groupstwisted (co)cycles

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65)

Related Items (13)

From positive geometries to a coaction on hypergeometric functions ⋮ From infinity to four dimensions: higher residue pairings and Feynman integrals ⋮ Macaulay matrix for Feynman integrals: linear relations and intersection numbers ⋮ Real time lattice correlation functions from differential equations ⋮ Intersection numbers from higher-order partial differential equations ⋮ Quadratic relations between periods of connections ⋮ Combinatorics and topology of Kawai-Lewellen-Tye relations ⋮ Feynman integrals and intersection theory ⋮ String correlators on \(\mathrm{AdS}_3\): three-point functions ⋮ Decomposition of Feynman integrals by multivariate intersection numbers ⋮ Decomposition of Feynman integrals on the maximal cut by intersection numbers ⋮ On the computation of intersection numbers for twisted cocycles ⋮ LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS

Cites Work

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• Algebraic \(A\)-hypergeometric functions
• Theory of Hypergeometric Functions
• Hypergeometric Functions, My Love
• A generalization of Kita and Noumi’s vanishing theorems of cohomology groups of local system
• Intersection Theory for Twisted Cycles
• Intersection Theory for Twisted Cycles II ‐ Degenerate Arrangements
• Monodromy of Lauricella's hypergeometric $F_A$-system
• GRÖBNER BASIS AND SINGULAR LOCUS OF LAURICELLA^|^apos;S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
• The monodromy representation and twisted period relations for Appell’s hypergeometric function F₄
• TWISTED CYCLES AND TWISTED PERIOD RELATIONS FOR LAURICELLA'S HYPERGEOMETRIC FUNCTION F_C

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