2 citations · 6 across the 12 of their papers we have counts for
4 papers · 1 filter
Flat connections on moduli spaces I: Local (1,0)-extension of the DHS connection
Eric D'Hoker, Benjamin Enriquez, Oliver Schlotterer +1
The flat DHS connection constructed in arXiv:2602.01461 is smooth on the configuration space of points on a fixed compact Riemann surface of arb…
Degenerations of flat connections on Riemann surfaces
Mattia Biancotto, Eric D'Hoker, Axel Kleinschmidt +2
The integration kernels for polylogarithm functions on a compact Riemann surface of arbitrary genus are shown to close as the surface undergoes a non-separating degeneration to…
Equivalence of flat connections and Fay identities on arbitrary Riemann surfaces
Eric D'Hoker, Oliver Schlotterer
A flat connection on a Riemann surface with values in an infinite dimensional Lie algebra provides a systematic and effective tool for generating an infinite family of polylogarith…
Single-valued flat connections in several variables on arbitrary Riemann surfaces
Eric D'Hoker, Oliver Schlotterer
Polylogarithms on Riemann surfaces may be constructed efficiently in terms of flat connections that can enjoy various algebraic and analytic properties. In this paper, we present a…