Russell Avdek

collaborators

3 papers

math.SG2024

Bourgeois' contact manifolds are tight

Russell Avdek, Zhengyi Zhou

We prove that Bourgeois' contact structures on $M \times T^{2}$ determined by the supporting open books of a contact manifold $(M, ξ)$ are always tight. The proof is based…

math.SG2024

Symplectic mapping class relations from pencil pairs

Russell Avdek

We describe symplectic mapping class relations between products of positive Dehn twists along Lagrangian spheres in Weinstein $4$ -manifolds, all of which are affine $C$ va…

math.SG2023

Stabilization of divisors in high-dimensional contact manifolds

Russell Avdek

A stabilization operation is defined for codimension $2$ contact submanifolds in $dim \geq 5$ contact manifolds $(M, ξ)$ . The definition is such that (1) a given $(M, ξ)$ is overt…