7 citations · 17 across the 6 of their papers we have counts for
6 papers
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…
A natural Lie superalgebra bundle on rank three WSD manifolds
Giovanni Gaiffi, Michele Grassi
We determine the structure of the -Lie superalgebra generated by a set of carefully chosen natural operators of an orientable WSD manifold of rank three. This Lie superalgebra i…
A geometric realization of sl(6,C)
Giovanni Gaiffi, Michele Grassi
Given an orientable weakly self-dual manifold X of rank two, we build a geometric realization of the Lie algebra sl(6,C) as a naturally defined algebra L of endomorphisms of the sp…
Self-dual manifolds and mirror symmetry for the quintic threefold
Michele Grassi
For all we build a two-dimensional family of smooth manifolds of real dimension and use it to interpolate between the anticanonical family in the complex projectiv…
Mirror symmetry and self-dual manifolds
Michele Grassi
We introduce self-dual manifolds and show that they can be used to encode mirror symmetry for affine-Kähler manifolds and for elliptic curves. Their geometric properties, especiall…
Polysymplectic spaces, s-Kahler manifolds and lagrangian fibrations
Michele Grassi
In the first part of this paper we begin the study of polysymplectic manifolds, and of their relationship with PDE's. This notion provides a generalization of symplectic manifolds…