Reducible spectral curves and the hyperkaehler geometry of adjoint orbits

2006/05/11 by Roger Bielawski, Bielawski, Roger
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #math.DG #msc:14H42 #msc:14H70 #msc:14L30 #msc:53C26

paper · pdf · doi:10.48550/arxiv.math/0605309

21 pages; bibliography updated, misprints corrected; final version, to appear in the Journal of the LMS

arxiv created 2007/03/14 · arxiv updated 2009/12/01

Abstract

We study the hyperkaehler geometry of a regular semisimple adjoint orbit of SL(k,C) via the algebraic geometry of the corresponding reducible spectral curve.

Related

• Complex adjoint orbits in Lie theory and geometry
• Adjoint orbits of \mathfraksl(2,ℝ) and their geometry
• Hyperkähler structures on leaves of hyper-Lie Poisson manifolds
• Almost Kaehler geometry of adjoint orbits of semisimple Lie groups
• Infinite-dimensional hyperkaehler manifolds associated with Hermitian-symmetric affine coadjoint orbits