# A weight two phenomenon for the moduli of rank one local systems on open varieties

1 JAD - Laboratoire Jean Alexandre Dieudonné

Abstract : The twistor space of representations on an open variety maps to a weight two space of local monodromy transformations around a divisor component at infinty. The space of $\sigma$-invariant sections of this slope-two bundle over the twistor line is a real $3$ dimensional space whose parameters correspond to the complex residue of the Higgs field, and the real parabolic weight of a harmonic bundle.

Author: Carlos Simpson -

Source: https://hal.archives-ouvertes.fr/