Simplices in Newton-Okounkov bodies and the Gromov width of coadjoint orbits

Abstract

We give a uniform proof for the conjectured Gromov width of coadjoint orbits of all compact connected simple Lie groups, by analyzing simplices in Newton-Okounkov bodies.

A mistake (missing assumption that λis on a rational line) is now corrected. We have also implemented valuable comments of referees, improving the exposition

References in corpus (4)

• Essential Signatures and Canonical Bases for Irreducible Representations of $D_4$
• The Gromov width of coadjoint orbits of the symplectic group
• On the Gromov width of homogeneous Kaehler manifolds
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Cited by in corpus (10)

• Convexity and Thimm's Trick
• Essential bases and toric degenerations arising from birational sequences
• Toric degenerations and symplectic geometry of smooth projective varieties
• The geometric structure of symplectic contraction
• The Gromov width of generalized Bott manifolds
• Asymptotic base loci via Okounkov bodies
• The Gromov width of Bott-Samelson varieties
• Remarks on Symplectic Geometry
• A note on the Gromov width of toric manifolds
• Branching polytopes for classical Lie algebras over $A_{n-1}$