The Gromov Width of Generalized Bott Manifolds

Abstract

Abstract By Delzant’s theorem, closed symplectic toric manifolds are classified by the images of their moment maps. In the case of a generalized Bott manifold, this image is a polytope $P$ combinatorially equivalent to a product of simplices. We compute the Gromov width of generalized Bott manifolds in terms of the defining inequalities of $P$.