Infinitesimally Tight Lagrangian Orbits
Symplectic Geometry
2020-08-05 v2 Algebraic Geometry
Differential Geometry
Abstract
We describe isotropic orbits for the restricted action of a subgroup of a Lie group acting on a symplectic manifold by Hamiltonian symplectomorphisms and admitting an Ad*-equivariant moment map. We obtain examples of Lagrangian orbits of complex flag manifolds, of cotangent bundles of orthogonal Lie groups, and of products of flags. We introduce the notion of infinitesimally tight and study the intersection theory of such Lagrangian orbits, giving many examples.
Cite
@article{arxiv.1903.03717,
title = {Infinitesimally Tight Lagrangian Orbits},
author = {Elizabeth Gasparim and Luiz A. B. San Martin and Fabricio Valencia},
journal= {arXiv preprint arXiv:1903.03717},
year = {2020}
}
Comments
22 pages. Final version to appear in Mathematische Zeitschrift