29 citations · 51 across the 13 of their papers we have counts for
15 papers · 1 filter
Fukaya category with supports
Mohammed Abouzaid, Yoel Groman, Umut Varolgunes
We associate to each compact subset of a closed symplectic manifold an -category $\Fuk_K$, called the Fukaya category with support on . The objects are tautolo…
Symplectic Excision and Distance Rigidity
Yoel Groman
We consider various notions of completeness in symplectic topology and ask two related questions. Does a complete open symplectic manifold remain complete after excising a subset?…
Boundary Depth and Deformations of Symplectic Cohomology
Yoel Groman
We study the relation between the ambient symplectic cohomology with supports associated to a Liouville domain \(D\subset M\), which depends on the embedding and is defined over th…
Almost toric fibrations on symplectic blow ups
Pranav Chakravarthy, Yoel Groman
Given a symplectic 4-manifold with an almost toric fibration and a symplectic ball embedding whose image under the moment map is contained in an affine convex set R, we produce a s…
Almost toric fibrations on K3 surfaces via degenerations
Pranav Chakravarthy, Yoel Groman
For Kähler K3 surfaces we consider Kulikov models of type III tamed by a symplectic form. Our main result shows that the generic smooth fiber admits an almost toric fibration over…
The local Floer cohomology of indicator functions
Yoel Groman
Let be a compact domain with contact-type boundary in a symplectic manifold . We associate an unweighted local Floer cohomology group to each isolated Reeb component of $\pa…
Closed string mirrors of symplectic cluster manifolds
Yoel Groman, Umut Varolgunes
For the base of a Maslov Lagrangian torus fibration with singularities consider the sheaf assigning to each the relative symplectic cohomology in degree of…
Framed structures in Floer theory
Mohammed Abouzaid, Yoel Groman, Umut Varolgunes
We resolve the long-standing problem of constructing the action of the operad of framed (stable) genus- curves on Hamiltonian Floer theory; this operad is equivalent to the fram…
Locality of relative symplectic cohomology for complete embeddings
Yoel Groman, Umut Varolgunes
A complete embedding is a symplectic embedding of a geometrically bounded symplectic manifold into another geometrically bounded symplectic manifold of the same…
The symplectic cohomology of magnetic cotangent bundles
Yoel Groman, Will J. Merry
We construct a family version of symplectic Floer cohomology for magnetic cotangent bundles, without any restrictions on the magnetic form, using the dissipative method for compact…
The wrapped Fukaya category for semi-toric SYZ fibrations
Yoel Groman
We introduce the wrapped Donaldson-Fukaya category of a (generalized) semi-toric SYZ fibration with Lagrangian section satisfying a tameness condition at infinity. Examples include…
Floer theory and reduced cohomology on open manifolds
Yoel Groman
We construct Hamiltonian Floer complexes associated to continuous, and even lower semi-continuous, time dependent exhaustion functions on geometrically bounded symplectic manifolds…
A thick-thin decomposition of -holomorphic curves
Yoel Groman
We show the existence of a thick thin decomposition of the domain of a pseudo holomorphic curve with boundary. The geometry of the thick part is bounded uniformly in the energy. Fu…
J-holomorphic curves with boundary in bounded geometry
Yoel Groman, Jake P. Solomon
The fundamental properties of -holomorphic maps depend on two inequalities: The gradient inequality gives a pointwise bound on the differential of a -holomorphic map in terms…
A reverse isoperimetric inequality for J-holomorphic curves
Yoel Groman, Jake P. Solomon
We prove that the length of the boundary of a -holomorphic curve with Lagrangian boundary conditions is dominated by a constant times its area. The constant depends on the sympl…