177 citations · 2.5k across the 51 of their papers we have counts for
7 papers · 1 filter
Kinematic Jacobi Identity is a Residue Theorem: Geometry of Color-Kinematics Duality for Gauge and Gravity Amplitudes
Sebastian Mizera
We give a geometric interpretation of color-kinematics duality between tree-level scattering amplitudes of gauge and gravity theories. Using their representation as intersection nu…
Monodromy relations from twisted homology
Eduardo Casali, Sebastian Mizera, Piotr Tourkine
We reformulate the monodromy relations of open-string scattering amplitudes as boundary terms of twisted homologies on the configuration spaces of Riemann surfaces of arbitrary gen…
From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals
Sebastian Mizera, Andrzej Pokraka
We study a surprising phenomenon in which Feynman integrals in space-time dimensions as can be fully characterized by their behavior in the o…
Vector Space of Feynman Integrals and Multivariate Intersection Numbers
Hjalte Frellesvig, Federico Gasparotto, Manoj K. Mandal +3
Feynman integrals obey linear relations governed by intersection numbers, which act as scalar products between vector spaces. We present a general algorithm for constructing multiv…
Aspects of Scattering Amplitudes and Moduli Space Localization
Sebastian Mizera
We elaborate on the recent proposal that intersection numbers of certain cohomology classes on the moduli space of genus-zero Riemann surfaces with punctures compute tree-level sca…
Scattering Equations: From Projective Spaces to Tropical Grassmannians
Freddy Cachazo, Nick Early, Alfredo Guevara +1
We introduce a natural generalization of the scattering equations, which connect the space of Mandelstam invariants to that of points on , to higher-dimensional pr…