In this paper we show that the mean Euler characteristic of equivariant symplectic homology is an effective obstruction against the existence of displaceable exact contact embeddings. As an application we show that certain Brieskorn manifolds do not admit displaceable exact contact embeddings.
"Displaceability and the mean Euler characteristic." Kyoto J. Math. 52 (4) 797 - 815, Winter 2012. https://doi.org/10.1215/21562261-1728866