14 citations · 74 across the 16 of their papers we have counts for
13 papers · 1 filter
RSFT functors for strong cobordisms and applications
Agustin Moreno, Zhengyi Zhou
We extend the hierarchy functors of [33] to the case of strong symplectic cobordisms, via deformations with Maurer--Cartan elements. In particular, we prove that the concave bounda…
Contact -surgeries and algebraic overtwistedness
Zhengyi Zhou
We show that a contact -surgery along a Legendrian sphere in a flexibly fillable contact manifold ( if not subcritical) yields a contact manifold that is algebraically…
Tight contact structures without symplectic fillings are everywhere
Jonathan Bowden, Fabio Gironella, Agustin Moreno +1
We show that for all , any -dimensional manifold that admits a tight contact structure, also admits a tight but non-fillable contact structure, in the same almost…
Infinite not contact isotopic embeddings in for
Zhengyi Zhou
For , we show that there are infinitely many formally contact isotopic embeddings of to that are not contact…
A landscape of contact manifolds via rational SFT
Agustin Moreno, Zhengyi Zhou
We define a hierarchy functor from the exact symplectic cobordism category to a totally ordered set from a (Bi-Lie) formalism of the rational symplectic field theory (R…
On the minimal symplectic area of Lagrangians
Zhengyi Zhou
We show that the minimal symplectic area of Lagrangian submanifolds are universally bounded in symplectically aspherical domains with vanishing symplectic cohomology. If an exact d…
On filings of
Zhengyi Zhou
We show that any symplectically aspherical/Calabi-Yau filling of has vanishing symplectic cohomology for any Liouville domain . In particular,…
Symplectic fillings of asymptotically dynamically convex manifolds II---dilations
Zhengyi Zhou
We introduce the concept of -(semi)-dilation for Liouville domains, which is a generalization of symplectic dilation defined by Seidel-Solomon. We prove that the existence of $k…
Symplectic fillings of asymptotically dynamically convex manifolds I
Zhengyi Zhou
We consider exact fillings with vanishing first Chern class of asymptotically dynamically convex (ADC) manifolds. We construct two structure maps on the positive symplectic cohomol…
Morse-Bott cohomology from homological perturbation theory
Zhengyi Zhou
In this paper, we construct cochain complexes generated by the cohomology of critical manifolds in the abstract setup of flow categories for Morse-Bott theories under minimum trans…
On the cohomology ring of symplectic fillings
Zhengyi Zhou
We consider symplectic cohomology twisted by sphere bundles, which can be viewed as an analogue of local systems. Using the associated Gysin exact sequence, we prove the uniqueness…
Quotient Theorems in Polyfold Theory and -Equivariant Transversality
Zhengyi Zhou
We introduce group actions on polyfolds and polyfold bundles. We prove quotient theorems for polyfolds, when the group action has finite isotropy. We prove that the sc-Fredholm pro…
Vanishing of Symplectic Homology and Obstruction to Flexible Fillability
Zhengyi Zhou
For any asymptotically dynamically convex contact manifold , we show that is a property independent of the choice of topologically simple (i.e.\ and $π_{1…