Tight Lagrangian homology spheres in compact homogeneous Kähler manifolds

Abstract

For any irreducible compact homogeneous Kähler manifold, we classify the compact tight Lagrangian submanifolds which have the Z_2-homology of a sphere.

arXiv comment10 pages; revised argument in section 5, results slightly expanded

References in corpus (1)

• Uniqueness of Hamiltonian volume minimizing Lagrangian submanifolds which are Hamiltonian isotopic to RP^n in CP^n