36 citations · 60 across the 10 of their papers we have counts for
11 papers
Algebraic overtwistedness of contact -surgeries via augmented Floer theories
Russell Avdek, Youlin Li, Zhengyi Zhou
We prove that contact -surgery along a Legendrian -sphere with \[ \mathrm{tb}(Λ)\ne (-1)^{\frac{n(n-1)}{2}+1} \] has vanishi…
Bourgeois' contact manifolds are tight
Russell Avdek, Zhengyi Zhou
We prove that Bourgeois' contact structures on determined by the supporting open books of a contact manifold are always tight. The proof is based…
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 -manifolds, all of which are affine va…
Stabilization of divisors in high-dimensional contact manifolds
Russell Avdek
A stabilization operation is defined for codimension contact submanifolds in contact manifolds . The definition is such that (1) a given is overt…
An algebraic generalization of Giroux's criterion
Russell Avdek
We compute the contact homology algebra of a neighborhood of a convex hypersurface of any even dimension. This algebra is the derived tensor produc…
A filtered generalization of the Chekanov-Eliashberg algebra
Russell Avdek
We define a new algebra associated to a Legendrian submanifold of a contact manifold of the form , called the planar diagram algebra and denoted $PDA(Λ…
Simplified SFT moduli spaces for Legendrian links
Russell Avdek
We study moduli spaces of holomorphic maps from Riemann surfaces to with boundaries on the Lagrangian cylinder over a Legendrian link $Λ\subset (…
Combinatorial Reeb dynamics on punctured contact 3-manifolds
Russell Avdek
Let be a contact surgery diagram determining a closed, connected contact -manifold $(S^{3}_{Λ^{\pm}}, ξ_{Λ^{\pm}})…
Symplectic Mapping Class Group Relations Generalizing the Chain Relation
Bahar Acu, Russell Avdek
In this paper, we examine mapping class group relations of some symplectic manifolds. For each and , we show that the -dimensional Weinstein domain $W = \{f…
Liouville hypersurfaces and connect sum cobordisms
Russell Avdek
The purpose of this paper is to introduce Liouville hypersurfaces in contact manifolds, which generalize ribbons of Legendrian graphs and pages of supporting open books. Liouville…
Contact surgery and supporting open books
Russell Avdek
Let be a contact 3-manifold. We present two new algorithms, the first of which converts an open book supporting with connected binding into a contact surger…