3 papers
hep-th2026
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…
hep-th2026
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…
hep-th2026
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…