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Mathematics > Algebraic Geometry

arXiv:0710.2800 (math)
[Submitted on 15 Oct 2007]

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

Authors:Carlos T. Simpson (JAD)
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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 $\sigma$-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.
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:0710.2800 [math.AG]
  (or arXiv:0710.2800v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.0710.2800

Submission history

From: Carlos T. Simpson [view email] [via CCSD proxy]
[v1] Mon, 15 Oct 2007 13:19:29 UTC (41 KB)
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