Intersection numbers, polynomial division and relative cohomology

Quantum field theory; related classical field theories (81Txx) General mathematical topics and methods in quantum theory (81Qxx) Hypergeometric functions (33Cxx)

Cites Work

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Critical points and number of master integrals
Correlation functions on the lattice and twisted cocycles
Twisted period relations for Lauricella's hypergeometric functions \(F_A\)
Generalized Euler integrals and \(A\)-hypergeometric functions
Intersection numbers for logarithmic \(K\)-forms
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Scattering amplitudes over finite fields and multivariate functional reconstruction
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Feynman integrals and intersection theory
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Baikov representations, intersection theory, and canonical Feynman integrals
Homology and cohomology intersection numbers of GKZ systems
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Constructing canonical Feynman integrals with intersection theory
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Hypergeometric functions and toric varieties
Macaulay matrix for Feynman integrals: linear relations and intersection numbers
FIRE6: Feynman integral reduction with modular arithmetic
QUADRATIC IDENTITIES FOR HYPERGEOMETRIC SERIES OF TYPE (k,l)
Quadratic Relations for Generalized Hypergeometric Functions PFP-1
Intersection theory for twisted cohomologies and twisted Riemann’s period relations I
On the computation of intersection numbers for twisted cocycles
Algorithms for Pfaffian Systems and Cohomology Intersection Numbers of Hypergeometric Integrals
AN ALGORITHM OF COMPUTING COHOMOLOGY INTERSECTION NUMBER OF HYPERGEOMETRIC INTEGRALS
Aspects of Scattering Amplitudes and Moduli Space Localization
The monodromy representation and twisted period relations for Appell’s hypergeometric function F₄
INTERSECTION NUMBERS AND TWISTED PERIOD RELATIONS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION m+1Fm
TWISTED CYCLES AND TWISTED PERIOD RELATIONS FOR LAURICELLA'S HYPERGEOMETRIC FUNCTION F_C
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Reduction to master integrals via intersection numbers and polynomial expansions
Loop-by-loop differential equations for dual (elliptic) Feynman integrals
Real time lattice correlation functions from differential equations
Intersection numbers from higher-order partial differential equations
Localization formulas of cohomology intersection numbers
Restrictions of Pfaffian systems for Feynman integrals
Cosmology meets cohomology
Feynman integrals in two dimensions and single-valued hypergeometric functions
Integration-by-parts identities and differential equations for parametrised Feynman integrals
\texttt{JaxoDraw}: a graphical user interface for drawing Feynman diagrams. Version \texttt{2.0} release notes
Relative twisted homology and cohomology groups associated with Lauricella's \(F_D\)

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