25 citations · 26 across the 7 of their papers we have counts for
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math.SG2000
On moduli spaces of symplectic forms
Ivan Smith
We prove that, for any n, there are simply-connected four-manifolds which admit n-tuples of symplectic forms whose first Chern classes have pairwise different divisibilities in int…
math.SG2000
Lefschetz pencils and the canonical class for symplectic 4-manifolds
Simon Donaldson, Ivan Smith
We present a new proof of a result due to Taubes: if X is a closed symplectic four-manifold with b_+(X) > 1+b_1(X) and with some positive multiple of the symplectic form a rational…
math.SG2000
Geometric monodromy and the hyperbolic disc
Ivan Smith
Symplectic four-manifolds give rise to Lefschetz fibrations, which are determined by monodromy representations of free groups in mapping class groups. We study the topology of Lefs…