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

Carlos T. Simpson

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arXiv · 0710.2800

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

Carlos T. Simpson

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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 $σ$-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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Carlos T. Simpson. 2007-10-15. A weight two phenomenon for the moduli of rank one local systems on open varieties. https://arxiv.org/abs/0710.2800

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