(G,P)-Opers and global Slodowy slices
نویسندگان
چکیده
Abstract In this paper, we introduce a generalization of G-opers for arbitrary parabolic subgroups P G complex semisimple Lie group. For associated to “even nilpotents”, parameterize ( , ) -opers by an object generalizing the base Hitchin fibration. particular, describe and families opers higher Teichmuller spaces.
منابع مشابه
Slodowy Slices and Universal Poisson Deformations
We classify the nilpotent orbits in a simple Lie algebra for which the restriction of the adjoint quotient map to a Slodowy slice is the universal Poisson deformation of its central fibre. This generalises work of Brieskorn and Slodowy on subregular orbits. In particular, we find in this way new singular symplectic hypersurfaces of dimension 4 and 6. To the memory of Professor Masaki Maruyama
متن کاملEquations For Nilpotent Varieties and Their Intersections With Slodowy Slices
EQUATIONS FOR NILPOTENT VARIETIES AND THEIR INTERSECTIONS WITH SLODOWY SLICES
متن کاملBirthing Opers
1.1. Let G be a simply connected semisimple group with Borel subgroup B, N = [B,B] and let H = B/N . Let g, b, n and h be the respective Lie algebras of these groups. Let G be the Langlands dual group with dual Borel B, etc. Let X be a smooth curve or the formal disc D or the formal punctured disc D×. 1.2. Recall that a g-oper over X is a G-bundle FLG = F with a reduction FLB to B and a connect...
متن کامل5 Gaudin model and opers
This is a review of our previous works [FFR, F1, F3] (some of them joint with B. Feigin and N. Reshetikhin) on the Gaudin model and opers. We define a commutative subalgebra in the tensor power of the universal enveloping algebra of a simple Lie algebra g. This algebra includes the hamiltonians of the Gaudin model, hence we call it the Gaudin algebra. It is constructed as a quotient of the cent...
متن کاملOpers versus Nonabelian Hodge
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 u of the base of Hitchin’s integrable system for (G, C). One family ∇h̄,u consists of G-opers, and depends on h̄ ∈ C×. The other family ∇R,ζ,u is built from solutions of Hitchin’s equations, and depends on ζ ∈ C×, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2021
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2020.107490