• Corpus ID: 40626974

Opers versus nonabelian Hodge

  title={Opers versus nonabelian Hodge},
  author={Olivia Dumitrescu and Laura Fredrickson and Georgios Kydonakis and Rafe Mazzeo and Motohico Mulase and Andrew Neitzke},
  journal={arXiv: Differential Geometry},
Author(s): Dumitrescu, Olivia; Fredrickson, Laura; Kydonakis, Georgios; Mazzeo, Rafe; Mulase, Motohico; Neitzke, Andrew | Abstract: For a complex simple simply connected Lie group $G$, and a compact Riemann surface $C$, we consider two sorts of families of flat $G$-connections over $C$. Each family is determined by a point ${\mathbf u}$ of the base of Hitchin's integrable system for $(G,C)$. One family $\nabla_{\hbar,{\mathbf u}}$ consists of $G$-opers, and depends on $\hbar \in {\mathbb C… 
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