Two-dimensional equivariant symplectic submanifolds in toric manifolds
Symplectic Geometry
2025-12-16 v1
Abstract
To find all two-dimensional equivariant symplectic submanifolds in symplectic toric manifolds, we combine the convex geometry of Delzant polytopes with local equivariant symplectic models and obtain a criterion for determining when a two-dimensional submanifold is an equivariant symplectic submanifold in a toric manifold.
Keywords
Cite
@article{arxiv.2512.12747,
title = {Two-dimensional equivariant symplectic submanifolds in toric manifolds},
author = {Shiyun Wen},
journal= {arXiv preprint arXiv:2512.12747},
year = {2025}
}