Symplectic triangle inequality

TL;DR

This paper establishes a non-squeezing theorem for Lagrangian embeddings of the real projective plane into certain symplectic manifolds, advancing understanding of symplectic embedding constraints.

Contribution

It introduces a novel non-squeezing result specific to Lagrangian embeddings of the real projective plane in blow-ups of the symplectic ball.

Findings

Proves a non-squeezing inequality for these embeddings

Identifies constraints on Lagrangian embeddings in symplectic blow-ups

Enhances understanding of symplectic embedding rigidity

Abstract

We prove a non-squeezing result for Lagrangian embeddings of the real projective plane into blow-ups of the symplectic ball.