Nilpotent Higgs Bundles and Families of Flat Connections
Abstract
We investigate C×-families of flat connections whose leading term is a nilpotent Higgs field. Examples of such families include real twistor lines and families arising from the conformal limit. We show that these families have the same monodromy as families whose leading term is a regular Higgs bundle and use this to deduce that traces of holonomies are asymptotically exponential in rational powers of the parameter of the family.
- Publication:
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Communications in Mathematical Physics
- Pub Date:
- October 2023
- DOI:
- 10.1007/s00220-023-04811-9
- arXiv:
- arXiv:2207.09581
- Bibcode:
- 2023CMaPh.403..877S
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematics - Algebraic Geometry;
- 53C07 (Primary) 14D20;
- 32G13;
- 34E20 (Secondary)
- E-Print:
- 41 pages. Comments welcome