Real Slices of SL(, ℂ)-Opers

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Biswas, Indranil, Heller, Sebastian, Schaposnik, Laura P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212017
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Real Slices of SL(, ℂ)-Opers. Indranil Biswas, Sebastian Heller and Laura P. Schaposnik. SIGMA 19 (2023), 067, 23 pages

Through the action of an anti-holomorphic involution (a real structure) on a Riemann surface , we consider the induced actions on SL(, ℂ)-opers and study the real slices fixed by such actions. By constructing this involution for different descriptions of the space of SL(, ℂ)-opers, we can give a na...