Products and connected sums of spheres as monotone Lagrangian submanifolds

Abstract

We obtain new restrictions on Maslov classes of monotone Lagrangian submanifolds of ${\mathbb{C}}^n$. We also construct families of new examples of monotone Lagrangian submanifolds, which show that the restrictions on Maslov classes are sharp in certain cases.

arXiv comment18 pages, clarified and simplified. arXiv admin note: text overlap with arXiv:1812.05007

References in corpus (6)

• Rigidity and uniruling for Lagrangian submanifolds
• Geometric structures on moment-angle manifolds
• Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings
• Integral cohomology groups of real toric manifolds and small covers
• Chain level loop bracket and pseudo-holomorphic disks
• Minimal and Hamiltonian-minimal submanifolds in toric geometry

Cited by in corpus (1)

• Zoo of monotone Lagrangians in $\mathbb{C}{P}^n$