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arXiv · 2512.12747

Two-dimensional equivariant symplectic submanifolds in toric manifolds

Shiyun Wen
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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.

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Shiyun Wen. 2025-12-14. Two-dimensional equivariant symplectic submanifolds in toric manifolds. https://arxiv.org/abs/2512.12747

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