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The Gromov-Tischler theorem for stratified spaces

Published 22 May 2022 in math.SG and math.GT | (2205.10892v3)

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 K\"ahler form. This extends a theorem, due to Gromov and Tischler for manifolds, to stratified spaces.

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