247 citations · 903 across the 43 of their papers we have counts for
43 papers
Algebraic identities between families of (elliptic) modular graphs
Anirban Basu
Consider an algebraic identity between elliptic modular graphs where several vertices are at fixed locations (and hence unintegrated) while the others are integrated over the toroi…
Elliptic Modular Graphs, Eigenvalue Equations and Algebraic Identities
Anirban Basu
We obtain eigenvalue equations satisfied by various elliptic modular graphs with five links where two of the vertices are unintegrated. Solving them leads to several non--trivial a…
Integrating simple genus two string invariants over moduli space
Anirban Basu
We consider an Sp(4,Z) invariant expression involving two factors of the Kawazumi--Zhang (KZ) invariant each of which is a modular graph with one link, and four derivatives on the…
Poisson equation for genus two string invariants: a conjecture
Anirban Basu
We consider some string invariants at genus two that appear in the analysis of the and interactions in type II string theory. We conjecture a…
Relations between elliptic modular graphs
Anirban Basu
We consider certain elliptic modular graph functions that arise in the asymptotic expansion around the non--separating node of genus two string invariants that appear in the integr…
Poisson equations for elliptic modular graph functions
Anirban Basu
We obtain Poisson equations satisfied by elliptic modular graph functions with four links. Analysis of these equations leads to a non--trivial algebraic relation between the variou…