85 citations · 336 across the 26 of their papers we have counts for
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math.SG2011
Convex plumbings and Lefschetz fibrations
David Gay, Thomas E. Mark
We show that under appropriate hypotheses, a plumbing of symplectic surfaces in a symplectic 4-manifold admits strongly convex neighborhoods. Moreover the neighborhoods are Lefsche…
math.GT2011★ 16 cited
Fiber connected, indefinite Morse 2-functions on connected n-manifolds
David T. Gay, Robion Kirby
We discuss generic smooth maps from smooth manifolds to smooth surfaces, which we call "Morse 2-functions", and homotopies between such maps. The two central issues are to keep the…
math.GT2011★ 11 cited
Indefinite Morse 2-functions; broken fibrations and generalizations
David T. Gay, Robion Kirby
A Morse 2-function is a generic smooth map from a smooth manifold to a surface. In the absence of definite folds (in which case we say that the Morse 2-function is indefinite), the…