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

2016/07/31 by Xin Fang, Peter Littelmann, Milena Pabiniak · 1 citation
Mathematics · #math.SG #math.AG #msc:53D05 #msc:14D06 #msc:14M15 #msc:17B10

paper · pdf · doi:10.1112/blms.12130

published as Bulletin of the London Mathematical Society, Volume 50, Issue 2, April 2018, 202--218 · A mistake (missing assumption that λis on a rational line) is now corrected. We have also implemented valuable comments of referees, improving the exposition

arxiv created 2017/10/23 · arxiv updated 2018/04/11

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.

Cited by

• Toric degenerations in symplectic geometry
• The Gromov width of generalized Bott-Samelson manifolds

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