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The twistor geometry of parabolic structures in rank two.
- Source :
- Proceedings of the Indian Academy of Sciences: Mathematical Sciences; 2022, Vol. 132 Issue 2, p1-26, 26p
- Publication Year :
- 2022
-
Abstract
- Let X be a quasi-projective curve, compactified to (Y, D) with X = Y - D . We construct a Deligne–Hitchin twistor space out of moduli spaces of framed λ -connections of rank 2 over Y with logarithmic singularities and quasi-parabolic structure along D. To do this, one should divide by a Hecke-gauge groupoid. Tame harmonic bundles on X give preferred sections, and the relative tangent bundle along a preferred section has a mixed twistor structure with weights 0, 1, 2. The weight 2 piece corresponds to the deformations of the KMS structure including parabolic weights and the residues of the λ -connection. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02534142
- Volume :
- 132
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Proceedings of the Indian Academy of Sciences: Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 159225105
- Full Text :
- https://doi.org/10.1007/s12044-022-00696-1