4 citations · 7 across the 4 of their papers we have counts for
4 papers
Symplectic geometry on moduli spaces of J-holomorphic curves
Joseph Coffey, Liat Kessler, Alvaro Pelayo
Let (M,ω) be a symplectic manifold, and Sigma a compact Riemann surface. We define a 2-form on the space of immersed symplectic surfaces in M, and show that the form is closed and…
Failure of the parametric h-principle for maps with prescribed jacobian
Joseph Coffey
Let M and N be closed n-dimensional manifolds, and equip N with a volume form σ. Let μbe an exact n-form on M. Arnold then asked the question: When can one find a map f:;N such tha…
Maps with symplectic graphs
Joseph Coffey
We consider the homotopy type of maps between symplectic surface whose graphs form symplectic submanifolds of the product. We give a purely topological model for this space in term…
Symplectomorphism groups and isotropic skeletons
Joseph Coffey
The symplectomorphism group of a 2-dimensional surface is homotopy equivalent to the orbit of a filling system of curves. We give a generalization of this statement to dimension 4.…