Intersection numbers from higher-order partial differential equations
Vsevolod Chestnov, Hjalte Frellesvig, Federico Gasparotto, Manoj K. Mandal, Pierpaolo Mastrolia
Abstract
A bstract We propose a new method for the evaluation of intersection numbers for twisted meromorphic n -forms, through Stokes’ theorem in n dimensions. It is based on the solution of an n -th order partial differential equation and on the evaluation of multivariate residues. We also present an algebraic expression for the contribution from each multivariate residue. We illustrate our approach with a number of simple examples from mathematics and physics.
Topics & Concepts
Meromorphic functionMultivariate statisticsIntersection (aeronautics)Partial differential equationPartial derivativeOrder (exchange)PhysicsSimple (philosophy)Algebraic numberApplied mathematicsPure mathematicsResidue (chemistry)Residue theoremFirst-order partial differential equationMathematicsMathematical physicsMathematical analysisStatisticsInitial value problemCauchy problemAerospace engineeringChemistryEngineeringEconomicsPhilosophyBiochemistryEpistemologyFinancePolynomial and algebraic computationAdvanced Numerical Analysis TechniquesNonlinear Waves and Solitons