Displaceability and the mean Euler characteristic

Abstract

In this note 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.

13 pages, no figures

References in corpus (1)

• Functors and Computations in Floer homology with Applications Part II

Cited by in corpus (9)

• Brieskorn manifolds in contact topology
• $S^1$-equivariant symplectic homology and linearized contact homology
• Symplectic homology of some Brieskorn manifolds
• Two closed orbits for non-degenerate Reeb flows
• Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic
• Equivariant symplectic homology and multiple closed Reeb orbits
• Equivariant symplectic homology of Anosov contact structures
• Symplectic homology of displaceable Liouville domains and Leafwise intersection points
• Connected sums of Brieskorn contact $5$-spheres