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Pré-Publication, Document De Travail Année : 2007

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

Carlos Simpson

Résumé

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.
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Dates et versions

hal-00179373 , version 1 (15-10-2007)

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Carlos Simpson. A weight two phenomenon for the moduli of rank one local systems on open varieties. 2007. ⟨hal-00179373⟩
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