Natural Lie Algebra bundles on rank two s-Kähler manifolds, abelian varieties and moduli of curves

Giovanni Gaiffi, Michele Grassi

We prove that one can obtain natural bundles of Lie algebras on rank two s-Kähler manifolds, whose fibres are isomorphic to so(s+1,s+1), su(s+1,s+1) and sl(2s + 2,\R). In the most…