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math.GT2012
Topological complexity of symplectic 4-manifolds and Stein fillings
R. Inanc Baykur, Jeremy Van Horn-Morris
We prove that there exists no a priori bound on the Euler characteristic of a closed symplectic 4-manifold coming solely from the genus of a compatible Lefschetz pencil on it, nor…
math.GT2012
Families of contact 3-manifolds with arbitrarily large Stein fillings
R. Inanc Baykur, Jeremy Van Horn-Morris
We show that there are vast families of contact 3-manifolds each member of which admits infinitely many Stein fillings with arbitrarily big euler characteristics and arbitrarily sm…
math.GT2009
Tight contact structures on the Brieskorn spheres -Σ(2,3,6n-1) and contact invariants
Paolo Ghiggini, Jeremy Van Horn-Morris
We compute the Ozsváth--Szabó contact invariants for all tight contact structures on the manifolds -Σ(2,3,6n-1).