Gromov width of symplectic toric manifolds associated with graphs

TL;DR

This paper provides an explicit formula for the Gromov width of certain symplectic toric manifolds derived from graphs, and explores a related non-squeezing property.

Contribution

It introduces a new explicit formula for Gromov width in graph-associated symplectic toric manifolds and establishes a non-squeezing result for connected graphs.

Findings

Explicit Gromov width formula for graph-based symplectic manifolds

Non-squeezing theorem for connected graph cases

Enhanced understanding of symplectic invariants in graph constructions

Abstract

We give an explicit formula for the Gromov width for a class of symplectic toric manifolds constructed from simple graphs. As a corollary, we show a version of non-squeezing theorem with respect to the inclusion of connected graphs.