English

(G,P)-opers and global Slodowy slices

Differential Geometry 2020-01-31 v3 Algebraic Geometry

Abstract

In this paper, we introduce a generalization of G-opers for arbitrary parabolic subgroups P<G. For parabolic subgroups associated to even nilpotents, we parameterize (G,P)-opers by an object generalizing the base of the Hitchin fibration. In particular, we describe families of opers associated to higher Teichmuller spaces.

Cite

@article{arxiv.1911.12844,
  title  = {(G,P)-opers and global Slodowy slices},
  author = {Brian Collier and Andrew Sanders},
  journal= {arXiv preprint arXiv:1911.12844},
  year   = {2020}
}

Comments

38 pages, comments welcome. v2: Section 5 rewritten to improve clarity, some other minor changes. v3: marginpar comments removed

R2 v1 2026-06-23T12:30:26.173Z