The Gromov-Tischler theorem for stratified spaces

Abstract

We define a notion of a symplectic structure on stratified spaces, and demonstrate that given a symplectic structure on a stratified space $X$ with integral cohomology class, $X$ can be symplectically embedded in some complex projective space equipped with the standard Kähler form. This extends a theorem, due to Gromov and Tischler for manifolds, to stratified spaces.

arXiv commentFinal version, 28 pages, to appear in Rocky Mountain J. Math