16 citations · 27 across the 3 of their papers we have counts for
4 papers
A mathematical perspective on nonplanar on-shell forms
Artyom Lisitsyn, Elizabeth Pratt, Melissa Sherman-Bennett +1
On-shell forms are differential forms on the Grassmannian which arise in particle physics. They are defined using bipartite graphs with distinguished ``boundary'' vertices. Mat…
Grassmannian Geometries for Non-Planar On-Shell Diagrams
Artyom Lisitsyn, Umut Oktem, Melissa Sherman-Bennett +1
On-shell diagrams are gauge invariant quantities which play an important role in the description of scattering amplitudes. Based on the principles of generalized unitarity, they ar…
Higher-genus Fay-like identities from meromorphic generating functions
Konstantin Baune, Johannes Broedel, Egor Im +2
A possible way of constructing polylogarithms on Riemann surfaces of higher genera facilitates integration kernels, which can be derived from generating functions incorporating the…
Schottky-Kronecker forms and hyperelliptic polylogarithms
Konstantin Baune, Johannes Broedel, Egor Im +2
Elliptic polylogarithms can be defined as iterated integrals on a genus-one Riemann surface of a set of integration kernels whose generating series was already considered by Kronec…