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The Gromov width of generalized Bott manifolds

2018/01/19 by Taekgyu Hwang, Eunjeong Lee, Dong Youp Suh
Mathematics · #math.SG #msc:53D05 #msc:14M25 #msc:53D45

paper · pdf · doi:10.1093/imrn/rnz066

published as International Mathematics Research Notices, Volume 2021, Issue 9, May 2021, Pages 7096-7131

arxiv created 2018/01/19 · arxiv updated 2021/05/11

Abstract

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

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